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Finding the Third Proportional to 169,424 and 249,208

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Solution

The third proportional to 169,424 and 249,208 is: 366,563.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,424 : 249,208 = 249,208 : x
  2. Step 2: Convert to fraction form
    169,424/249,208 = 249,208/x
  3. Step 3: Cross multiply
    169,424x = 249,208 × 249,208
  4. Step 4: Simplify right side
    169,424x = 62,104,627,264
  5. Step 5: Solve for x
    x = 62,104,627,264/169,424
  6. Step 6: Final answer
    x = 366,563.34

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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.