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Finding the Third Proportional to 144,572 and 225,602

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Solution

The third proportional to 144,572 and 225,602 is: 352,047.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,572 : 225,602 = 225,602 : x
  2. Step 2: Convert to fraction form
    144,572/225,602 = 225,602/x
  3. Step 3: Cross multiply
    144,572x = 225,602 × 225,602
  4. Step 4: Simplify right side
    144,572x = 50,896,262,404
  5. Step 5: Solve for x
    x = 50,896,262,404/144,572
  6. Step 6: Final answer
    x = 352,047.85

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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.