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Finding the Third Proportional to 158,597.50 and 348,739

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Solution

The third proportional to 158,597.50 and 348,739 is: 766,839.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,597.50 : 348,739 = 348,739 : x
  2. Step 2: Convert to fraction form
    158,597.50/348,739 = 348,739/x
  3. Step 3: Cross multiply
    158,597.50x = 348,739 × 348,739
  4. Step 4: Simplify right side
    158,597.50x = 121,618,890,121
  5. Step 5: Solve for x
    x = 121,618,890,121/158,597.50
  6. Step 6: Final answer
    x = 766,839.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.