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Finding the Third Proportional to 163,124 and 249,560

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Solution

The third proportional to 163,124 and 249,560 is: 381,796.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,124 : 249,560 = 249,560 : x
  2. Step 2: Convert to fraction form
    163,124/249,560 = 249,560/x
  3. Step 3: Cross multiply
    163,124x = 249,560 × 249,560
  4. Step 4: Simplify right side
    163,124x = 62,280,193,600
  5. Step 5: Solve for x
    x = 62,280,193,600/163,124
  6. Step 6: Final answer
    x = 381,796.63

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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.