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Finding the Third Proportional to 131,674 and 288,352

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Solution

The third proportional to 131,674 and 288,352 is: 631,460.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,674 : 288,352 = 288,352 : x
  2. Step 2: Convert to fraction form
    131,674/288,352 = 288,352/x
  3. Step 3: Cross multiply
    131,674x = 288,352 × 288,352
  4. Step 4: Simplify right side
    131,674x = 83,146,875,904
  5. Step 5: Solve for x
    x = 83,146,875,904/131,674
  6. Step 6: Final answer
    x = 631,460.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.