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Finding the Third Proportional to 176,707.13 and 280,900.13

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Solution

The third proportional to 176,707.13 and 280,900.13 is: 446,529.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,707.13 : 280,900.13 = 280,900.13 : x
  2. Step 2: Convert to fraction form
    176,707.13/280,900.13 = 280,900.13/x
  3. Step 3: Cross multiply
    176,707.13x = 280,900.13 × 280,900.13
  4. Step 4: Simplify right side
    176,707.13x = 78,904,880,225.02
  5. Step 5: Solve for x
    x = 78,904,880,225.02/176,707.13
  6. Step 6: Final answer
    x = 446,529.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.