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Finding the Third Proportional to 186,558.50 and 295,883.88

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Solution

The third proportional to 186,558.50 and 295,883.88 is: 469,275.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,558.50 : 295,883.88 = 295,883.88 : x
  2. Step 2: Convert to fraction form
    186,558.50/295,883.88 = 295,883.88/x
  3. Step 3: Cross multiply
    186,558.50x = 295,883.88 × 295,883.88
  4. Step 4: Simplify right side
    186,558.50x = 87,547,267,485.02
  5. Step 5: Solve for x
    x = 87,547,267,485.02/186,558.50
  6. Step 6: Final answer
    x = 469,275.15

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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.