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Finding the Third Proportional to 183,384 and 247,428

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Solution

The third proportional to 183,384 and 247,428 is: 333,838.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,384 : 247,428 = 247,428 : x
  2. Step 2: Convert to fraction form
    183,384/247,428 = 247,428/x
  3. Step 3: Cross multiply
    183,384x = 247,428 × 247,428
  4. Step 4: Simplify right side
    183,384x = 61,220,615,184
  5. Step 5: Solve for x
    x = 61,220,615,184/183,384
  6. Step 6: Final answer
    x = 333,838.37

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.