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Finding the Third Proportional to 169,596 and 249,210

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Solution

The third proportional to 169,596 and 249,210 is: 366,197.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,596 : 249,210 = 249,210 : x
  2. Step 2: Convert to fraction form
    169,596/249,210 = 249,210/x
  3. Step 3: Cross multiply
    169,596x = 249,210 × 249,210
  4. Step 4: Simplify right side
    169,596x = 62,105,624,100
  5. Step 5: Solve for x
    x = 62,105,624,100/169,596
  6. Step 6: Final answer
    x = 366,197.46

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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.