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Finding the Third Proportional to 145,843.31 and 316,584

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Solution

The third proportional to 145,843.31 and 316,584 is: 687,213.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,843.31 : 316,584 = 316,584 : x
  2. Step 2: Convert to fraction form
    145,843.31/316,584 = 316,584/x
  3. Step 3: Cross multiply
    145,843.31x = 316,584 × 316,584
  4. Step 4: Simplify right side
    145,843.31x = 100,225,429,056
  5. Step 5: Solve for x
    x = 100,225,429,056/145,843.31
  6. Step 6: Final answer
    x = 687,213.06

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Why These Related Problems?

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