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Finding the Third Proportional to 137,550 and 301,342

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Solution

The third proportional to 137,550 and 301,342 is: 660,174.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,550 : 301,342 = 301,342 : x
  2. Step 2: Convert to fraction form
    137,550/301,342 = 301,342/x
  3. Step 3: Cross multiply
    137,550x = 301,342 × 301,342
  4. Step 4: Simplify right side
    137,550x = 90,807,000,964
  5. Step 5: Solve for x
    x = 90,807,000,964/137,550
  6. Step 6: Final answer
    x = 660,174.49

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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.