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Finding the Third Proportional to 141,650 and 304,352

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Solution

The third proportional to 141,650 and 304,352 is: 653,936.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,650 : 304,352 = 304,352 : x
  2. Step 2: Convert to fraction form
    141,650/304,352 = 304,352/x
  3. Step 3: Cross multiply
    141,650x = 304,352 × 304,352
  4. Step 4: Simplify right side
    141,650x = 92,630,139,904
  5. Step 5: Solve for x
    x = 92,630,139,904/141,650
  6. Step 6: Final answer
    x = 653,936.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.