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Finding the Third Proportional to 169,598 and 249,213

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Solution

The third proportional to 169,598 and 249,213 is: 366,201.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,598 : 249,213 = 249,213 : x
  2. Step 2: Convert to fraction form
    169,598/249,213 = 249,213/x
  3. Step 3: Cross multiply
    169,598x = 249,213 × 249,213
  4. Step 4: Simplify right side
    169,598x = 62,107,119,369
  5. Step 5: Solve for x
    x = 62,107,119,369/169,598
  6. Step 6: Final answer
    x = 366,201.96

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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.