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Finding the Third Proportional to 235,459.50 and 352,657.50

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Solution

The third proportional to 235,459.50 and 352,657.50 is: 528,189.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,459.50 : 352,657.50 = 352,657.50 : x
  2. Step 2: Convert to fraction form
    235,459.50/352,657.50 = 352,657.50/x
  3. Step 3: Cross multiply
    235,459.50x = 352,657.50 × 352,657.50
  4. Step 4: Simplify right side
    235,459.50x = 124,367,312,306.25
  5. Step 5: Solve for x
    x = 124,367,312,306.25/235,459.50
  6. Step 6: Final answer
    x = 528,189.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.