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Finding the Third Proportional to 176,404.50 and 260,448.75

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Solution

The third proportional to 176,404.50 and 260,448.75 is: 384,534.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,404.50 : 260,448.75 = 260,448.75 : x
  2. Step 2: Convert to fraction form
    176,404.50/260,448.75 = 260,448.75/x
  3. Step 3: Cross multiply
    176,404.50x = 260,448.75 × 260,448.75
  4. Step 4: Simplify right side
    176,404.50x = 67,833,551,376.56
  5. Step 5: Solve for x
    x = 67,833,551,376.56/176,404.50
  6. Step 6: Final answer
    x = 384,534.13

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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.