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Finding the Third Proportional to 191,818 and 287,730

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Solution

The third proportional to 191,818 and 287,730 is: 431,599.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,818 : 287,730 = 287,730 : x
  2. Step 2: Convert to fraction form
    191,818/287,730 = 287,730/x
  3. Step 3: Cross multiply
    191,818x = 287,730 × 287,730
  4. Step 4: Simplify right side
    191,818x = 82,788,552,900
  5. Step 5: Solve for x
    x = 82,788,552,900/191,818
  6. Step 6: Final answer
    x = 431,599.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.