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Finding the Third Proportional to 144,565.17 and 313,263.70

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Solution

The third proportional to 144,565.17 and 313,263.70 is: 678,822.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,565.17 : 313,263.70 = 313,263.70 : x
  2. Step 2: Convert to fraction form
    144,565.17/313,263.70 = 313,263.70/x
  3. Step 3: Cross multiply
    144,565.17x = 313,263.70 × 313,263.70
  4. Step 4: Simplify right side
    144,565.17x = 98,134,147,695.59
  5. Step 5: Solve for x
    x = 98,134,147,695.59/144,565.17
  6. Step 6: Final answer
    x = 678,822.89

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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.