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Finding the Third Proportional to 107,875 and 236,486

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Solution

The third proportional to 107,875 and 236,486 is: 518,429.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,875 : 236,486 = 236,486 : x
  2. Step 2: Convert to fraction form
    107,875/236,486 = 236,486/x
  3. Step 3: Cross multiply
    107,875x = 236,486 × 236,486
  4. Step 4: Simplify right side
    107,875x = 55,925,628,196
  5. Step 5: Solve for x
    x = 55,925,628,196/107,875
  6. Step 6: Final answer
    x = 518,429.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.