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Finding the Third Proportional to 155,023.50 and 232,533

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Solution

The third proportional to 155,023.50 and 232,533 is: 348,796.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,023.50 : 232,533 = 232,533 : x
  2. Step 2: Convert to fraction form
    155,023.50/232,533 = 232,533/x
  3. Step 3: Cross multiply
    155,023.50x = 232,533 × 232,533
  4. Step 4: Simplify right side
    155,023.50x = 54,071,596,089
  5. Step 5: Solve for x
    x = 54,071,596,089/155,023.50
  6. Step 6: Final answer
    x = 348,796.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.