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Finding the Third Proportional to 145,424 and 222,368

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Solution

The third proportional to 145,424 and 222,368 is: 340,023.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,424 : 222,368 = 222,368 : x
  2. Step 2: Convert to fraction form
    145,424/222,368 = 222,368/x
  3. Step 3: Cross multiply
    145,424x = 222,368 × 222,368
  4. Step 4: Simplify right side
    145,424x = 49,447,527,424
  5. Step 5: Solve for x
    x = 49,447,527,424/145,424
  6. Step 6: Final answer
    x = 340,023.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.