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Finding the Third Proportional to 233,175.38 and 498,345.75

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Solution

The third proportional to 233,175.38 and 498,345.75 is: 1,065,071.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,175.38 : 498,345.75 = 498,345.75 : x
  2. Step 2: Convert to fraction form
    233,175.38/498,345.75 = 498,345.75/x
  3. Step 3: Cross multiply
    233,175.38x = 498,345.75 × 498,345.75
  4. Step 4: Simplify right side
    233,175.38x = 248,348,486,543.06
  5. Step 5: Solve for x
    x = 248,348,486,543.06/233,175.38
  6. Step 6: Final answer
    x = 1,065,071.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.