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Finding the Third Proportional to 181,566 and 288,840

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Solution

The third proportional to 181,566 and 288,840 is: 459,494.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,566 : 288,840 = 288,840 : x
  2. Step 2: Convert to fraction form
    181,566/288,840 = 288,840/x
  3. Step 3: Cross multiply
    181,566x = 288,840 × 288,840
  4. Step 4: Simplify right side
    181,566x = 83,428,545,600
  5. Step 5: Solve for x
    x = 83,428,545,600/181,566
  6. Step 6: Final answer
    x = 459,494.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.