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Finding the Third Proportional to 233,160.75 and 498,316.50

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Solution

The third proportional to 233,160.75 and 498,316.50 is: 1,065,013.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,160.75 : 498,316.50 = 498,316.50 : x
  2. Step 2: Convert to fraction form
    233,160.75/498,316.50 = 498,316.50/x
  3. Step 3: Cross multiply
    233,160.75x = 498,316.50 × 498,316.50
  4. Step 4: Simplify right side
    233,160.75x = 248,319,334,172.25
  5. Step 5: Solve for x
    x = 248,319,334,172.25/233,160.75
  6. Step 6: Final answer
    x = 1,065,013.45

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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.