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Finding the Third Proportional to 167,717 and 249,289

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Solution

The third proportional to 167,717 and 249,289 is: 370,534.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,717 : 249,289 = 249,289 : x
  2. Step 2: Convert to fraction form
    167,717/249,289 = 249,289/x
  3. Step 3: Cross multiply
    167,717x = 249,289 × 249,289
  4. Step 4: Simplify right side
    167,717x = 62,145,005,521
  5. Step 5: Solve for x
    x = 62,145,005,521/167,717
  6. Step 6: Final answer
    x = 370,534.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.