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Finding the Third Proportional to 163,743 and 249,987

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Solution

The third proportional to 163,743 and 249,987 is: 381,656.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,743 : 249,987 = 249,987 : x
  2. Step 2: Convert to fraction form
    163,743/249,987 = 249,987/x
  3. Step 3: Cross multiply
    163,743x = 249,987 × 249,987
  4. Step 4: Simplify right side
    163,743x = 62,493,500,169
  5. Step 5: Solve for x
    x = 62,493,500,169/163,743
  6. Step 6: Final answer
    x = 381,656.01

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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.