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Finding the Third Proportional to 163,276.50 and 252,196.13

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Solution

The third proportional to 163,276.50 and 252,196.13 is: 389,540.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,276.50 : 252,196.13 = 252,196.13 : x
  2. Step 2: Convert to fraction form
    163,276.50/252,196.13 = 252,196.13/x
  3. Step 3: Cross multiply
    163,276.50x = 252,196.13 × 252,196.13
  4. Step 4: Simplify right side
    163,276.50x = 63,602,885,465.02
  5. Step 5: Solve for x
    x = 63,602,885,465.02/163,276.50
  6. Step 6: Final answer
    x = 389,540.97

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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.