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Finding the Third Proportional to 163,271 and 249,771

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Solution

The third proportional to 163,271 and 249,771 is: 382,098.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,271 : 249,771 = 249,771 : x
  2. Step 2: Convert to fraction form
    163,271/249,771 = 249,771/x
  3. Step 3: Cross multiply
    163,271x = 249,771 × 249,771
  4. Step 4: Simplify right side
    163,271x = 62,385,552,441
  5. Step 5: Solve for x
    x = 62,385,552,441/163,271
  6. Step 6: Final answer
    x = 382,098.18

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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.