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Finding the Third Proportional to 144,871.88 and 314,686.69

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Solution

The third proportional to 144,871.88 and 314,686.69 is: 683,553.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,871.88 : 314,686.69 = 314,686.69 : x
  2. Step 2: Convert to fraction form
    144,871.88/314,686.69 = 314,686.69/x
  3. Step 3: Cross multiply
    144,871.88x = 314,686.69 × 314,686.69
  4. Step 4: Simplify right side
    144,871.88x = 99,027,711,289.72
  5. Step 5: Solve for x
    x = 99,027,711,289.72/144,871.88
  6. Step 6: Final answer
    x = 683,553.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.