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Finding the Third Proportional to 117,623.44 and 186,925.88

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Solution

The third proportional to 117,623.44 and 186,925.88 is: 297,060.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,623.44 : 186,925.88 = 186,925.88 : x
  2. Step 2: Convert to fraction form
    117,623.44/186,925.88 = 186,925.88/x
  3. Step 3: Cross multiply
    117,623.44x = 186,925.88 × 186,925.88
  4. Step 4: Simplify right side
    117,623.44x = 34,941,282,744.52
  5. Step 5: Solve for x
    x = 34,941,282,744.52/117,623.44
  6. Step 6: Final answer
    x = 297,060.55

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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.