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Finding the Third Proportional to 186,267.09 and 295,074.14

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Solution

The third proportional to 186,267.09 and 295,074.14 is: 467,440.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,267.09 : 295,074.14 = 295,074.14 : x
  2. Step 2: Convert to fraction form
    186,267.09/295,074.14 = 295,074.14/x
  3. Step 3: Cross multiply
    186,267.09x = 295,074.14 × 295,074.14
  4. Step 4: Simplify right side
    186,267.09x = 87,068,748,465.58
  5. Step 5: Solve for x
    x = 87,068,748,465.58/186,267.09
  6. Step 6: Final answer
    x = 467,440.31

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.