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Finding the Third Proportional to 145,306 and 220,132

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Solution

The third proportional to 145,306 and 220,132 is: 333,490.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,306 : 220,132 = 220,132 : x
  2. Step 2: Convert to fraction form
    145,306/220,132 = 220,132/x
  3. Step 3: Cross multiply
    145,306x = 220,132 × 220,132
  4. Step 4: Simplify right side
    145,306x = 48,458,097,424
  5. Step 5: Solve for x
    x = 48,458,097,424/145,306
  6. Step 6: Final answer
    x = 333,490.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.