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Finding the Third Proportional to 136,733.50 and 209,888.50

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Solution

The third proportional to 136,733.50 and 209,888.50 is: 322,182.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,733.50 : 209,888.50 = 209,888.50 : x
  2. Step 2: Convert to fraction form
    136,733.50/209,888.50 = 209,888.50/x
  3. Step 3: Cross multiply
    136,733.50x = 209,888.50 × 209,888.50
  4. Step 4: Simplify right side
    136,733.50x = 44,053,182,432.25
  5. Step 5: Solve for x
    x = 44,053,182,432.25/136,733.50
  6. Step 6: Final answer
    x = 322,182.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.