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Finding the Third Proportional to 149,352 and 312,532

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Solution

The third proportional to 149,352 and 312,532 is: 654,000.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,352 : 312,532 = 312,532 : x
  2. Step 2: Convert to fraction form
    149,352/312,532 = 312,532/x
  3. Step 3: Cross multiply
    149,352x = 312,532 × 312,532
  4. Step 4: Simplify right side
    149,352x = 97,676,251,024
  5. Step 5: Solve for x
    x = 97,676,251,024/149,352
  6. Step 6: Final answer
    x = 654,000.29

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.