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Finding the Third Proportional to 160,341 and 346,377

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Solution

The third proportional to 160,341 and 346,377 is: 748,261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,341 : 346,377 = 346,377 : x
  2. Step 2: Convert to fraction form
    160,341/346,377 = 346,377/x
  3. Step 3: Cross multiply
    160,341x = 346,377 × 346,377
  4. Step 4: Simplify right side
    160,341x = 119,977,026,129
  5. Step 5: Solve for x
    x = 119,977,026,129/160,341
  6. Step 6: Final answer
    x = 748,261.68

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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.