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Finding the Third Proportional to 186,541 and 407,230.50

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Solution

The third proportional to 186,541 and 407,230.50 is: 889,009.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,541 : 407,230.50 = 407,230.50 : x
  2. Step 2: Convert to fraction form
    186,541/407,230.50 = 407,230.50/x
  3. Step 3: Cross multiply
    186,541x = 407,230.50 × 407,230.50
  4. Step 4: Simplify right side
    186,541x = 165,836,680,130.25
  5. Step 5: Solve for x
    x = 165,836,680,130.25/186,541
  6. Step 6: Final answer
    x = 889,009.28

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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.