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Finding the Third Proportional to 168,172 and 249,862

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Solution

The third proportional to 168,172 and 249,862 is: 371,233.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,172 : 249,862 = 249,862 : x
  2. Step 2: Convert to fraction form
    168,172/249,862 = 249,862/x
  3. Step 3: Cross multiply
    168,172x = 249,862 × 249,862
  4. Step 4: Simplify right side
    168,172x = 62,431,019,044
  5. Step 5: Solve for x
    x = 62,431,019,044/168,172
  6. Step 6: Final answer
    x = 371,233.14

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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.