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Finding the Third Proportional to 163,282 and 249,787

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Solution

The third proportional to 163,282 and 249,787 is: 382,121.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,282 : 249,787 = 249,787 : x
  2. Step 2: Convert to fraction form
    163,282/249,787 = 249,787/x
  3. Step 3: Cross multiply
    163,282x = 249,787 × 249,787
  4. Step 4: Simplify right side
    163,282x = 62,393,545,369
  5. Step 5: Solve for x
    x = 62,393,545,369/163,282
  6. Step 6: Final answer
    x = 382,121.39

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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.