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Finding the Third Proportional to 160,346.25 and 346,113

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Solution

The third proportional to 160,346.25 and 346,113 is: 747,097.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,346.25 : 346,113 = 346,113 : x
  2. Step 2: Convert to fraction form
    160,346.25/346,113 = 346,113/x
  3. Step 3: Cross multiply
    160,346.25x = 346,113 × 346,113
  4. Step 4: Simplify right side
    160,346.25x = 119,794,208,769
  5. Step 5: Solve for x
    x = 119,794,208,769/160,346.25
  6. Step 6: Final answer
    x = 747,097.04

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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.