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Finding the Third Proportional to 147,511.13 and 316,054.41

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Solution

The third proportional to 147,511.13 and 316,054.41 is: 677,171.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,511.13 : 316,054.41 = 316,054.41 : x
  2. Step 2: Convert to fraction form
    147,511.13/316,054.41 = 316,054.41/x
  3. Step 3: Cross multiply
    147,511.13x = 316,054.41 × 316,054.41
  4. Step 4: Simplify right side
    147,511.13x = 99,890,387,710.04
  5. Step 5: Solve for x
    x = 99,890,387,710.04/147,511.13
  6. Step 6: Final answer
    x = 677,171.89

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Why These Related Problems?

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