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Finding the Third Proportional to 163,115.72 and 249,548.77

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Solution

The third proportional to 163,115.72 and 249,548.77 is: 381,781.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,115.72 : 249,548.77 = 249,548.77 : x
  2. Step 2: Convert to fraction form
    163,115.72/249,548.77 = 249,548.77/x
  3. Step 3: Cross multiply
    163,115.72x = 249,548.77 × 249,548.77
  4. Step 4: Simplify right side
    163,115.72x = 62,274,586,424.96
  5. Step 5: Solve for x
    x = 62,274,586,424.96/163,115.72
  6. Step 6: Final answer
    x = 381,781.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.