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Finding the Third Proportional to 136,770.75 and 293,770.13

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Solution

The third proportional to 136,770.75 and 293,770.13 is: 630,989.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,770.75 : 293,770.13 = 293,770.13 : x
  2. Step 2: Convert to fraction form
    136,770.75/293,770.13 = 293,770.13/x
  3. Step 3: Cross multiply
    136,770.75x = 293,770.13 × 293,770.13
  4. Step 4: Simplify right side
    136,770.75x = 86,300,886,342.52
  5. Step 5: Solve for x
    x = 86,300,886,342.52/136,770.75
  6. Step 6: Final answer
    x = 630,989.35

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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.