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Finding the Third Proportional to 128,332 and 286,143

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Solution

The third proportional to 128,332 and 286,143 is: 638,015.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,332 : 286,143 = 286,143 : x
  2. Step 2: Convert to fraction form
    128,332/286,143 = 286,143/x
  3. Step 3: Cross multiply
    128,332x = 286,143 × 286,143
  4. Step 4: Simplify right side
    128,332x = 81,877,816,449
  5. Step 5: Solve for x
    x = 81,877,816,449/128,332
  6. Step 6: Final answer
    x = 638,015.59

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.