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Finding the Third Proportional to 200,748.38 and 295,574.06

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Solution

The third proportional to 200,748.38 and 295,574.06 is: 435,191.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,748.38 : 295,574.06 = 295,574.06 : x
  2. Step 2: Convert to fraction form
    200,748.38/295,574.06 = 295,574.06/x
  3. Step 3: Cross multiply
    200,748.38x = 295,574.06 × 295,574.06
  4. Step 4: Simplify right side
    200,748.38x = 87,364,026,422.75
  5. Step 5: Solve for x
    x = 87,364,026,422.75/200,748.38
  6. Step 6: Final answer
    x = 435,191.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.