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Finding the Third Proportional to 180,947.25 and 266,152.50

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Solution

The third proportional to 180,947.25 and 266,152.50 is: 391,479.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,947.25 : 266,152.50 = 266,152.50 : x
  2. Step 2: Convert to fraction form
    180,947.25/266,152.50 = 266,152.50/x
  3. Step 3: Cross multiply
    180,947.25x = 266,152.50 × 266,152.50
  4. Step 4: Simplify right side
    180,947.25x = 70,837,153,256.25
  5. Step 5: Solve for x
    x = 70,837,153,256.25/180,947.25
  6. Step 6: Final answer
    x = 391,479.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.