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Finding the Third Proportional to 160,376 and 346,424

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Solution

The third proportional to 160,376 and 346,424 is: 748,301.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,376 : 346,424 = 346,424 : x
  2. Step 2: Convert to fraction form
    160,376/346,424 = 346,424/x
  3. Step 3: Cross multiply
    160,376x = 346,424 × 346,424
  4. Step 4: Simplify right side
    160,376x = 120,009,587,776
  5. Step 5: Solve for x
    x = 120,009,587,776/160,376
  6. Step 6: Final answer
    x = 748,301.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.