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Finding the Third Proportional to 186,552 and 407,263.50

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Solution

The third proportional to 186,552 and 407,263.50 is: 889,100.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,552 : 407,263.50 = 407,263.50 : x
  2. Step 2: Convert to fraction form
    186,552/407,263.50 = 407,263.50/x
  3. Step 3: Cross multiply
    186,552x = 407,263.50 × 407,263.50
  4. Step 4: Simplify right side
    186,552x = 165,863,558,432.25
  5. Step 5: Solve for x
    x = 165,863,558,432.25/186,552
  6. Step 6: Final answer
    x = 889,100.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.