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Finding the Third Proportional to 160,293.94 and 250,145.72

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Solution

The third proportional to 160,293.94 and 250,145.72 is: 390,363.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,293.94 : 250,145.72 = 250,145.72 : x
  2. Step 2: Convert to fraction form
    160,293.94/250,145.72 = 250,145.72/x
  3. Step 3: Cross multiply
    160,293.94x = 250,145.72 × 250,145.72
  4. Step 4: Simplify right side
    160,293.94x = 62,572,880,608.95
  5. Step 5: Solve for x
    x = 62,572,880,608.95/160,293.94
  6. Step 6: Final answer
    x = 390,363.36

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