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Finding the Third Proportional to 145,516 and 224,276

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Solution

The third proportional to 145,516 and 224,276 is: 345,664.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,516 : 224,276 = 224,276 : x
  2. Step 2: Convert to fraction form
    145,516/224,276 = 224,276/x
  3. Step 3: Cross multiply
    145,516x = 224,276 × 224,276
  4. Step 4: Simplify right side
    145,516x = 50,299,724,176
  5. Step 5: Solve for x
    x = 50,299,724,176/145,516
  6. Step 6: Final answer
    x = 345,664.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.