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Finding the Third Proportional to 176,051 and 264,919

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Solution

The third proportional to 176,051 and 264,919 is: 398,646.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,051 : 264,919 = 264,919 : x
  2. Step 2: Convert to fraction form
    176,051/264,919 = 264,919/x
  3. Step 3: Cross multiply
    176,051x = 264,919 × 264,919
  4. Step 4: Simplify right side
    176,051x = 70,182,076,561
  5. Step 5: Solve for x
    x = 70,182,076,561/176,051
  6. Step 6: Final answer
    x = 398,646.28

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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.