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Finding the Third Proportional to 186,567 and 295,894.50

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Solution

The third proportional to 186,567 and 295,894.50 is: 469,287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,567 : 295,894.50 = 295,894.50 : x
  2. Step 2: Convert to fraction form
    186,567/295,894.50 = 295,894.50/x
  3. Step 3: Cross multiply
    186,567x = 295,894.50 × 295,894.50
  4. Step 4: Simplify right side
    186,567x = 87,553,555,130.25
  5. Step 5: Solve for x
    x = 87,553,555,130.25/186,567
  6. Step 6: Final answer
    x = 469,287.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.