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Finding the Third Proportional to 98,430 and 152,703

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Solution

The third proportional to 98,430 and 152,703 is: 236,901.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,430 : 152,703 = 152,703 : x
  2. Step 2: Convert to fraction form
    98,430/152,703 = 152,703/x
  3. Step 3: Cross multiply
    98,430x = 152,703 × 152,703
  4. Step 4: Simplify right side
    98,430x = 23,318,206,209
  5. Step 5: Solve for x
    x = 23,318,206,209/98,430
  6. Step 6: Final answer
    x = 236,901.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.