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Finding the Third Proportional to 186,798 and 291,861

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Solution

The third proportional to 186,798 and 291,861 is: 456,015.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,798 : 291,861 = 291,861 : x
  2. Step 2: Convert to fraction form
    186,798/291,861 = 291,861/x
  3. Step 3: Cross multiply
    186,798x = 291,861 × 291,861
  4. Step 4: Simplify right side
    186,798x = 85,182,843,321
  5. Step 5: Solve for x
    x = 85,182,843,321/186,798
  6. Step 6: Final answer
    x = 456,015.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.