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Finding the Third Proportional to 152,730 and 233,631

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Solution

The third proportional to 152,730 and 233,631 is: 357,385.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,730 : 233,631 = 233,631 : x
  2. Step 2: Convert to fraction form
    152,730/233,631 = 233,631/x
  3. Step 3: Cross multiply
    152,730x = 233,631 × 233,631
  4. Step 4: Simplify right side
    152,730x = 54,583,444,161
  5. Step 5: Solve for x
    x = 54,583,444,161/152,730
  6. Step 6: Final answer
    x = 357,385.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.