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Finding the Third Proportional to 169,522 and 249,027

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Solution

The third proportional to 169,522 and 249,027 is: 365,819.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,522 : 249,027 = 249,027 : x
  2. Step 2: Convert to fraction form
    169,522/249,027 = 249,027/x
  3. Step 3: Cross multiply
    169,522x = 249,027 × 249,027
  4. Step 4: Simplify right side
    169,522x = 62,014,446,729
  5. Step 5: Solve for x
    x = 62,014,446,729/169,522
  6. Step 6: Final answer
    x = 365,819.46

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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.