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Finding the Third Proportional to 158,270 and 337,132

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Solution

The third proportional to 158,270 and 337,132 is: 718,127.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,270 : 337,132 = 337,132 : x
  2. Step 2: Convert to fraction form
    158,270/337,132 = 337,132/x
  3. Step 3: Cross multiply
    158,270x = 337,132 × 337,132
  4. Step 4: Simplify right side
    158,270x = 113,657,985,424
  5. Step 5: Solve for x
    x = 113,657,985,424/158,270
  6. Step 6: Final answer
    x = 718,127.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.