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Finding the Third Proportional to 153,414 and 328,860

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Solution

The third proportional to 153,414 and 328,860 is: 704,948.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,414 : 328,860 = 328,860 : x
  2. Step 2: Convert to fraction form
    153,414/328,860 = 328,860/x
  3. Step 3: Cross multiply
    153,414x = 328,860 × 328,860
  4. Step 4: Simplify right side
    153,414x = 108,148,899,600
  5. Step 5: Solve for x
    x = 108,148,899,600/153,414
  6. Step 6: Final answer
    x = 704,948.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.