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Finding the Third Proportional to 176,509.13 and 270,064.13

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Solution

The third proportional to 176,509.13 and 270,064.13 is: 413,206.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,509.13 : 270,064.13 = 270,064.13 : x
  2. Step 2: Convert to fraction form
    176,509.13/270,064.13 = 270,064.13/x
  3. Step 3: Cross multiply
    176,509.13x = 270,064.13 × 270,064.13
  4. Step 4: Simplify right side
    176,509.13x = 72,934,631,612.02
  5. Step 5: Solve for x
    x = 72,934,631,612.02/176,509.13
  6. Step 6: Final answer
    x = 413,206.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.