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Finding the Third Proportional to 142,532 and 309,871.50

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Solution

The third proportional to 142,532 and 309,871.50 is: 673,675.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,532 : 309,871.50 = 309,871.50 : x
  2. Step 2: Convert to fraction form
    142,532/309,871.50 = 309,871.50/x
  3. Step 3: Cross multiply
    142,532x = 309,871.50 × 309,871.50
  4. Step 4: Simplify right side
    142,532x = 96,020,346,512.25
  5. Step 5: Solve for x
    x = 96,020,346,512.25/142,532
  6. Step 6: Final answer
    x = 673,675.71

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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.