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Finding the Third Proportional to 163,376 and 249,870

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Solution

The third proportional to 163,376 and 249,870 is: 382,155.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,376 : 249,870 = 249,870 : x
  2. Step 2: Convert to fraction form
    163,376/249,870 = 249,870/x
  3. Step 3: Cross multiply
    163,376x = 249,870 × 249,870
  4. Step 4: Simplify right side
    163,376x = 62,435,016,900
  5. Step 5: Solve for x
    x = 62,435,016,900/163,376
  6. Step 6: Final answer
    x = 382,155.38

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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.