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Finding the Third Proportional to 145,280 and 200,052

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Solution

The third proportional to 145,280 and 200,052 is: 275,473.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,280 : 200,052 = 200,052 : x
  2. Step 2: Convert to fraction form
    145,280/200,052 = 200,052/x
  3. Step 3: Cross multiply
    145,280x = 200,052 × 200,052
  4. Step 4: Simplify right side
    145,280x = 40,020,802,704
  5. Step 5: Solve for x
    x = 40,020,802,704/145,280
  6. Step 6: Final answer
    x = 275,473.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.