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Finding the Third Proportional to 145,155.63 and 296,143.25

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Solution

The third proportional to 145,155.63 and 296,143.25 is: 604,184.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,155.63 : 296,143.25 = 296,143.25 : x
  2. Step 2: Convert to fraction form
    145,155.63/296,143.25 = 296,143.25/x
  3. Step 3: Cross multiply
    145,155.63x = 296,143.25 × 296,143.25
  4. Step 4: Simplify right side
    145,155.63x = 87,700,824,520.56
  5. Step 5: Solve for x
    x = 87,700,824,520.56/145,155.63
  6. Step 6: Final answer
    x = 604,184.82

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.