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Finding the Third Proportional to 202,785 and 293,721.75

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Solution

The third proportional to 202,785 and 293,721.75 is: 425,438.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,785 : 293,721.75 = 293,721.75 : x
  2. Step 2: Convert to fraction form
    202,785/293,721.75 = 293,721.75/x
  3. Step 3: Cross multiply
    202,785x = 293,721.75 × 293,721.75
  4. Step 4: Simplify right side
    202,785x = 86,272,466,423.06
  5. Step 5: Solve for x
    x = 86,272,466,423.06/202,785
  6. Step 6: Final answer
    x = 425,438.11

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.