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Finding the Third Proportional to 200,062.13 and 306,753.75

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Solution

The third proportional to 200,062.13 and 306,753.75 is: 470,343.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,062.13 : 306,753.75 = 306,753.75 : x
  2. Step 2: Convert to fraction form
    200,062.13/306,753.75 = 306,753.75/x
  3. Step 3: Cross multiply
    200,062.13x = 306,753.75 × 306,753.75
  4. Step 4: Simplify right side
    200,062.13x = 94,097,863,139.06
  5. Step 5: Solve for x
    x = 94,097,863,139.06/200,062.13
  6. Step 6: Final answer
    x = 470,343.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.