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Finding the Third Proportional to 155,003.63 and 285,711.05

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Solution

The third proportional to 155,003.63 and 285,711.05 is: 526,638.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,003.63 : 285,711.05 = 285,711.05 : x
  2. Step 2: Convert to fraction form
    155,003.63/285,711.05 = 285,711.05/x
  3. Step 3: Cross multiply
    155,003.63x = 285,711.05 × 285,711.05
  4. Step 4: Simplify right side
    155,003.63x = 81,630,802,306.41
  5. Step 5: Solve for x
    x = 81,630,802,306.41/155,003.63
  6. Step 6: Final answer
    x = 526,638.02

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.