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Finding the Third Proportional to 131,466.16 and 287,946.14

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Solution

The third proportional to 131,466.16 and 287,946.14 is: 630,679.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,466.16 : 287,946.14 = 287,946.14 : x
  2. Step 2: Convert to fraction form
    131,466.16/287,946.14 = 287,946.14/x
  3. Step 3: Cross multiply
    131,466.16x = 287,946.14 × 287,946.14
  4. Step 4: Simplify right side
    131,466.16x = 82,912,979,900.83
  5. Step 5: Solve for x
    x = 82,912,979,900.83/131,466.16
  6. Step 6: Final answer
    x = 630,679.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.