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Finding the Third Proportional to 169,518 and 249,021

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Solution

The third proportional to 169,518 and 249,021 is: 365,810.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,518 : 249,021 = 249,021 : x
  2. Step 2: Convert to fraction form
    169,518/249,021 = 249,021/x
  3. Step 3: Cross multiply
    169,518x = 249,021 × 249,021
  4. Step 4: Simplify right side
    169,518x = 62,011,458,441
  5. Step 5: Solve for x
    x = 62,011,458,441/169,518
  6. Step 6: Final answer
    x = 365,810.47

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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.