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Finding the Third Proportional to 202,784.50 and 293,721

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Solution

The third proportional to 202,784.50 and 293,721 is: 425,436.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,784.50 : 293,721 = 293,721 : x
  2. Step 2: Convert to fraction form
    202,784.50/293,721 = 293,721/x
  3. Step 3: Cross multiply
    202,784.50x = 293,721 × 293,721
  4. Step 4: Simplify right side
    202,784.50x = 86,272,025,841
  5. Step 5: Solve for x
    x = 86,272,025,841/202,784.50
  6. Step 6: Final answer
    x = 425,436.98

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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.