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Finding the Third Proportional to 167,714 and 249,288

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Solution

The third proportional to 167,714 and 249,288 is: 370,538.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,714 : 249,288 = 249,288 : x
  2. Step 2: Convert to fraction form
    167,714/249,288 = 249,288/x
  3. Step 3: Cross multiply
    167,714x = 249,288 × 249,288
  4. Step 4: Simplify right side
    167,714x = 62,144,506,944
  5. Step 5: Solve for x
    x = 62,144,506,944/167,714
  6. Step 6: Final answer
    x = 370,538.58

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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.