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Finding the Third Proportional to 176,530.50 and 266,446.13

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Solution

The third proportional to 176,530.50 and 266,446.13 is: 402,160.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,530.50 : 266,446.13 = 266,446.13 : x
  2. Step 2: Convert to fraction form
    176,530.50/266,446.13 = 266,446.13/x
  3. Step 3: Cross multiply
    176,530.50x = 266,446.13 × 266,446.13
  4. Step 4: Simplify right side
    176,530.50x = 70,993,537,527.52
  5. Step 5: Solve for x
    x = 70,993,537,527.52/176,530.50
  6. Step 6: Final answer
    x = 402,160.18

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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.