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Finding the Third Proportional to 119,472 and 176,466

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Solution

The third proportional to 119,472 and 176,466 is: 260,648.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,472 : 176,466 = 176,466 : x
  2. Step 2: Convert to fraction form
    119,472/176,466 = 176,466/x
  3. Step 3: Cross multiply
    119,472x = 176,466 × 176,466
  4. Step 4: Simplify right side
    119,472x = 31,140,249,156
  5. Step 5: Solve for x
    x = 31,140,249,156/119,472
  6. Step 6: Final answer
    x = 260,648.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.