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Finding the Third Proportional to 186,128 and 403,747

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Solution

The third proportional to 186,128 and 403,747 is: 875,803.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,128 : 403,747 = 403,747 : x
  2. Step 2: Convert to fraction form
    186,128/403,747 = 403,747/x
  3. Step 3: Cross multiply
    186,128x = 403,747 × 403,747
  4. Step 4: Simplify right side
    186,128x = 163,011,640,009
  5. Step 5: Solve for x
    x = 163,011,640,009/186,128
  6. Step 6: Final answer
    x = 875,803.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.