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Finding the Third Proportional to 153,424.13 and 328,168.13

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Solution

The third proportional to 153,424.13 and 328,168.13 is: 701,938.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,424.13 : 328,168.13 = 328,168.13 : x
  2. Step 2: Convert to fraction form
    153,424.13/328,168.13 = 328,168.13/x
  3. Step 3: Cross multiply
    153,424.13x = 328,168.13 × 328,168.13
  4. Step 4: Simplify right side
    153,424.13x = 107,694,318,266.02
  5. Step 5: Solve for x
    x = 107,694,318,266.02/153,424.13
  6. Step 6: Final answer
    x = 701,938.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.