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Finding the Third Proportional to 147,250.13 and 320,572.13

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Solution

The third proportional to 147,250.13 and 320,572.13 is: 697,904.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,250.13 : 320,572.13 = 320,572.13 : x
  2. Step 2: Convert to fraction form
    147,250.13/320,572.13 = 320,572.13/x
  3. Step 3: Cross multiply
    147,250.13x = 320,572.13 × 320,572.13
  4. Step 4: Simplify right side
    147,250.13x = 102,766,487,327.02
  5. Step 5: Solve for x
    x = 102,766,487,327.02/147,250.13
  6. Step 6: Final answer
    x = 697,904.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.