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Finding the Third Proportional to 155,544.75 and 233,262

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Solution

The third proportional to 155,544.75 and 233,262 is: 349,810.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,544.75 : 233,262 = 233,262 : x
  2. Step 2: Convert to fraction form
    155,544.75/233,262 = 233,262/x
  3. Step 3: Cross multiply
    155,544.75x = 233,262 × 233,262
  4. Step 4: Simplify right side
    155,544.75x = 54,411,160,644
  5. Step 5: Solve for x
    x = 54,411,160,644/155,544.75
  6. Step 6: Final answer
    x = 349,810.33

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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.