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Finding the Third Proportional to 147,224 and 229,584

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Solution

The third proportional to 147,224 and 229,584 is: 358,017.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,224 : 229,584 = 229,584 : x
  2. Step 2: Convert to fraction form
    147,224/229,584 = 229,584/x
  3. Step 3: Cross multiply
    147,224x = 229,584 × 229,584
  4. Step 4: Simplify right side
    147,224x = 52,708,813,056
  5. Step 5: Solve for x
    x = 52,708,813,056/147,224
  6. Step 6: Final answer
    x = 358,017.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.