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Finding the Third Proportional to 221,152.50 and 473,854.50

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Solution

The third proportional to 221,152.50 and 473,854.50 is: 1,015,308.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,152.50 : 473,854.50 = 473,854.50 : x
  2. Step 2: Convert to fraction form
    221,152.50/473,854.50 = 473,854.50/x
  3. Step 3: Cross multiply
    221,152.50x = 473,854.50 × 473,854.50
  4. Step 4: Simplify right side
    221,152.50x = 224,538,087,170.25
  5. Step 5: Solve for x
    x = 224,538,087,170.25/221,152.50
  6. Step 6: Final answer
    x = 1,015,308.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.