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Finding the Third Proportional to 176,305.50 and 260,752.50

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Solution

The third proportional to 176,305.50 and 260,752.50 is: 385,648.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,305.50 : 260,752.50 = 260,752.50 : x
  2. Step 2: Convert to fraction form
    176,305.50/260,752.50 = 260,752.50/x
  3. Step 3: Cross multiply
    176,305.50x = 260,752.50 × 260,752.50
  4. Step 4: Simplify right side
    176,305.50x = 67,991,866,256.25
  5. Step 5: Solve for x
    x = 67,991,866,256.25/176,305.50
  6. Step 6: Final answer
    x = 385,648.02

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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.