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Finding the Third Proportional to 156,952 and 343,045

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Solution

The third proportional to 156,952 and 343,045 is: 749,782.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,952 : 343,045 = 343,045 : x
  2. Step 2: Convert to fraction form
    156,952/343,045 = 343,045/x
  3. Step 3: Cross multiply
    156,952x = 343,045 × 343,045
  4. Step 4: Simplify right side
    156,952x = 117,679,872,025
  5. Step 5: Solve for x
    x = 117,679,872,025/156,952
  6. Step 6: Final answer
    x = 749,782.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.