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Finding the Third Proportional to 160,347 and 346,368

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Solution

The third proportional to 160,347 and 346,368 is: 748,194.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,347 : 346,368 = 346,368 : x
  2. Step 2: Convert to fraction form
    160,347/346,368 = 346,368/x
  3. Step 3: Cross multiply
    160,347x = 346,368 × 346,368
  4. Step 4: Simplify right side
    160,347x = 119,970,791,424
  5. Step 5: Solve for x
    x = 119,970,791,424/160,347
  6. Step 6: Final answer
    x = 748,194.80

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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.