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Finding the Third Proportional to 292,142.25 and 448,766.25

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Solution

The third proportional to 292,142.25 and 448,766.25 is: 689,359.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,142.25 : 448,766.25 = 448,766.25 : x
  2. Step 2: Convert to fraction form
    292,142.25/448,766.25 = 448,766.25/x
  3. Step 3: Cross multiply
    292,142.25x = 448,766.25 × 448,766.25
  4. Step 4: Simplify right side
    292,142.25x = 201,391,147,139.06
  5. Step 5: Solve for x
    x = 201,391,147,139.06/292,142.25
  6. Step 6: Final answer
    x = 689,359.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.