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Finding the Third Proportional to 70,239 and 152,385

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Solution

The third proportional to 70,239 and 152,385 is: 330,602.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,239 : 152,385 = 152,385 : x
  2. Step 2: Convert to fraction form
    70,239/152,385 = 152,385/x
  3. Step 3: Cross multiply
    70,239x = 152,385 × 152,385
  4. Step 4: Simplify right side
    70,239x = 23,221,188,225
  5. Step 5: Solve for x
    x = 23,221,188,225/70,239
  6. Step 6: Final answer
    x = 330,602.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.