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Finding the Third Proportional to 176,352 and 266,118

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Solution

The third proportional to 176,352 and 266,118 is: 401,576.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,352 : 266,118 = 266,118 : x
  2. Step 2: Convert to fraction form
    176,352/266,118 = 266,118/x
  3. Step 3: Cross multiply
    176,352x = 266,118 × 266,118
  4. Step 4: Simplify right side
    176,352x = 70,818,789,924
  5. Step 5: Solve for x
    x = 70,818,789,924/176,352
  6. Step 6: Final answer
    x = 401,576.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.