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Finding the Third Proportional to 161,200.13 and 346,176.28

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Solution

The third proportional to 161,200.13 and 346,176.28 is: 743,411.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,200.13 : 346,176.28 = 346,176.28 : x
  2. Step 2: Convert to fraction form
    161,200.13/346,176.28 = 346,176.28/x
  3. Step 3: Cross multiply
    161,200.13x = 346,176.28 × 346,176.28
  4. Step 4: Simplify right side
    161,200.13x = 119,838,017,700.08
  5. Step 5: Solve for x
    x = 119,838,017,700.08/161,200.13
  6. Step 6: Final answer
    x = 743,411.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.