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Finding the Third Proportional to 84,306 and 176,406.75

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Solution

The third proportional to 84,306 and 176,406.75 is: 369,123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,306 : 176,406.75 = 176,406.75 : x
  2. Step 2: Convert to fraction form
    84,306/176,406.75 = 176,406.75/x
  3. Step 3: Cross multiply
    84,306x = 176,406.75 × 176,406.75
  4. Step 4: Simplify right side
    84,306x = 31,119,341,445.56
  5. Step 5: Solve for x
    x = 31,119,341,445.56/84,306
  6. Step 6: Final answer
    x = 369,123.69

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.