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Finding the Third Proportional to 160,127 and 346,550

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Solution

The third proportional to 160,127 and 346,550 is: 750,010.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,127 : 346,550 = 346,550 : x
  2. Step 2: Convert to fraction form
    160,127/346,550 = 346,550/x
  3. Step 3: Cross multiply
    160,127x = 346,550 × 346,550
  4. Step 4: Simplify right side
    160,127x = 120,096,902,500
  5. Step 5: Solve for x
    x = 120,096,902,500/160,127
  6. Step 6: Final answer
    x = 750,010.32

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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.