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Finding the Third Proportional to 145,782 and 303,202.50

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Solution

The third proportional to 145,782 and 303,202.50 is: 630,611.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,782 : 303,202.50 = 303,202.50 : x
  2. Step 2: Convert to fraction form
    145,782/303,202.50 = 303,202.50/x
  3. Step 3: Cross multiply
    145,782x = 303,202.50 × 303,202.50
  4. Step 4: Simplify right side
    145,782x = 91,931,756,006.25
  5. Step 5: Solve for x
    x = 91,931,756,006.25/145,782
  6. Step 6: Final answer
    x = 630,611.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.