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Finding the Third Proportional to 155,808 and 233,448

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Solution

The third proportional to 155,808 and 233,448 is: 349,776.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,808 : 233,448 = 233,448 : x
  2. Step 2: Convert to fraction form
    155,808/233,448 = 233,448/x
  3. Step 3: Cross multiply
    155,808x = 233,448 × 233,448
  4. Step 4: Simplify right side
    155,808x = 54,497,968,704
  5. Step 5: Solve for x
    x = 54,497,968,704/155,808
  6. Step 6: Final answer
    x = 349,776.45

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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.