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Finding the Third Proportional to 183,216 and 261,510

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Solution

The third proportional to 183,216 and 261,510 is: 373,261.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,216 : 261,510 = 261,510 : x
  2. Step 2: Convert to fraction form
    183,216/261,510 = 261,510/x
  3. Step 3: Cross multiply
    183,216x = 261,510 × 261,510
  4. Step 4: Simplify right side
    183,216x = 68,387,480,100
  5. Step 5: Solve for x
    x = 68,387,480,100/183,216
  6. Step 6: Final answer
    x = 373,261.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.