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Finding the Third Proportional to 88,865 and 190,237

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Solution

The third proportional to 88,865 and 190,237 is: 407,248.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,865 : 190,237 = 190,237 : x
  2. Step 2: Convert to fraction form
    88,865/190,237 = 190,237/x
  3. Step 3: Cross multiply
    88,865x = 190,237 × 190,237
  4. Step 4: Simplify right side
    88,865x = 36,190,116,169
  5. Step 5: Solve for x
    x = 36,190,116,169/88,865
  6. Step 6: Final answer
    x = 407,248.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.