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Finding the Third Proportional to 170,021 and 249,847

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Solution

The third proportional to 170,021 and 249,847 is: 367,151.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,021 : 249,847 = 249,847 : x
  2. Step 2: Convert to fraction form
    170,021/249,847 = 249,847/x
  3. Step 3: Cross multiply
    170,021x = 249,847 × 249,847
  4. Step 4: Simplify right side
    170,021x = 62,423,523,409
  5. Step 5: Solve for x
    x = 62,423,523,409/170,021
  6. Step 6: Final answer
    x = 367,151.84

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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.