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Finding the Third Proportional to 169,351 and 249,347

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Solution

The third proportional to 169,351 and 249,347 is: 367,130.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,351 : 249,347 = 249,347 : x
  2. Step 2: Convert to fraction form
    169,351/249,347 = 249,347/x
  3. Step 3: Cross multiply
    169,351x = 249,347 × 249,347
  4. Step 4: Simplify right side
    169,351x = 62,173,926,409
  5. Step 5: Solve for x
    x = 62,173,926,409/169,351
  6. Step 6: Final answer
    x = 367,130.55

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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.