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Finding the Third Proportional to 170,031 and 249,861

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Solution

The third proportional to 170,031 and 249,861 is: 367,171.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,031 : 249,861 = 249,861 : x
  2. Step 2: Convert to fraction form
    170,031/249,861 = 249,861/x
  3. Step 3: Cross multiply
    170,031x = 249,861 × 249,861
  4. Step 4: Simplify right side
    170,031x = 62,430,519,321
  5. Step 5: Solve for x
    x = 62,430,519,321/170,031
  6. Step 6: Final answer
    x = 367,171.39

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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.