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Finding the Third Proportional to 133,390.13 and 314,875.13

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Solution

The third proportional to 133,390.13 and 314,875.13 is: 743,280.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,390.13 : 314,875.13 = 314,875.13 : x
  2. Step 2: Convert to fraction form
    133,390.13/314,875.13 = 314,875.13/x
  3. Step 3: Cross multiply
    133,390.13x = 314,875.13 × 314,875.13
  4. Step 4: Simplify right side
    133,390.13x = 99,146,344,343.77
  5. Step 5: Solve for x
    x = 99,146,344,343.77/133,390.13
  6. Step 6: Final answer
    x = 743,280.99

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.