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Finding the Third Proportional to 141,816 and 299,124

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Solution

The third proportional to 141,816 and 299,124 is: 630,924.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,816 : 299,124 = 299,124 : x
  2. Step 2: Convert to fraction form
    141,816/299,124 = 299,124/x
  3. Step 3: Cross multiply
    141,816x = 299,124 × 299,124
  4. Step 4: Simplify right side
    141,816x = 89,475,167,376
  5. Step 5: Solve for x
    x = 89,475,167,376/141,816
  6. Step 6: Final answer
    x = 630,924.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.