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Finding the Third Proportional to 169,383 and 249,402

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Solution

The third proportional to 169,383 and 249,402 is: 367,223.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,383 : 249,402 = 249,402 : x
  2. Step 2: Convert to fraction form
    169,383/249,402 = 249,402/x
  3. Step 3: Cross multiply
    169,383x = 249,402 × 249,402
  4. Step 4: Simplify right side
    169,383x = 62,201,357,604
  5. Step 5: Solve for x
    x = 62,201,357,604/169,383
  6. Step 6: Final answer
    x = 367,223.14

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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.