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Finding the Third Proportional to 163,925.69 and 252,896.44

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Solution

The third proportional to 163,925.69 and 252,896.44 is: 390,156.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,925.69 : 252,896.44 = 252,896.44 : x
  2. Step 2: Convert to fraction form
    163,925.69/252,896.44 = 252,896.44/x
  3. Step 3: Cross multiply
    163,925.69x = 252,896.44 × 252,896.44
  4. Step 4: Simplify right side
    163,925.69x = 63,956,607,359.29
  5. Step 5: Solve for x
    x = 63,956,607,359.29/163,925.69
  6. Step 6: Final answer
    x = 390,156.10

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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.