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Finding the Third Proportional to 131,468.06 and 287,813.25

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Solution

The third proportional to 131,468.06 and 287,813.25 is: 630,088.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,468.06 : 287,813.25 = 287,813.25 : x
  2. Step 2: Convert to fraction form
    131,468.06/287,813.25 = 287,813.25/x
  3. Step 3: Cross multiply
    131,468.06x = 287,813.25 × 287,813.25
  4. Step 4: Simplify right side
    131,468.06x = 82,836,466,875.56
  5. Step 5: Solve for x
    x = 82,836,466,875.56/131,468.06
  6. Step 6: Final answer
    x = 630,088.14

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