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Finding the Third Proportional to 170,037 and 249,870

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Solution

The third proportional to 170,037 and 249,870 is: 367,184.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,037 : 249,870 = 249,870 : x
  2. Step 2: Convert to fraction form
    170,037/249,870 = 249,870/x
  3. Step 3: Cross multiply
    170,037x = 249,870 × 249,870
  4. Step 4: Simplify right side
    170,037x = 62,435,016,900
  5. Step 5: Solve for x
    x = 62,435,016,900/170,037
  6. Step 6: Final answer
    x = 367,184.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.