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Finding the Third Proportional to 202,357.13 and 292,347

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Solution

The third proportional to 202,357.13 and 292,347 is: 422,356.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,357.13 : 292,347 = 292,347 : x
  2. Step 2: Convert to fraction form
    202,357.13/292,347 = 292,347/x
  3. Step 3: Cross multiply
    202,357.13x = 292,347 × 292,347
  4. Step 4: Simplify right side
    202,357.13x = 85,466,768,409
  5. Step 5: Solve for x
    x = 85,466,768,409/202,357.13
  6. Step 6: Final answer
    x = 422,356.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.