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Finding the Third Proportional to 155,523 and 232,213.50

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Solution

The third proportional to 155,523 and 232,213.50 is: 346,721.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,523 : 232,213.50 = 232,213.50 : x
  2. Step 2: Convert to fraction form
    155,523/232,213.50 = 232,213.50/x
  3. Step 3: Cross multiply
    155,523x = 232,213.50 × 232,213.50
  4. Step 4: Simplify right side
    155,523x = 53,923,109,582.25
  5. Step 5: Solve for x
    x = 53,923,109,582.25/155,523
  6. Step 6: Final answer
    x = 346,721.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.