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Finding the Third Proportional to 128,388 and 286,281

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Solution

The third proportional to 128,388 and 286,281 is: 638,352.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,388 : 286,281 = 286,281 : x
  2. Step 2: Convert to fraction form
    128,388/286,281 = 286,281/x
  3. Step 3: Cross multiply
    128,388x = 286,281 × 286,281
  4. Step 4: Simplify right side
    128,388x = 81,956,810,961
  5. Step 5: Solve for x
    x = 81,956,810,961/128,388
  6. Step 6: Final answer
    x = 638,352.58

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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.