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Finding the Third Proportional to 147,710 and 229,152

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Solution

The third proportional to 147,710 and 229,152 is: 355,498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,710 : 229,152 = 229,152 : x
  2. Step 2: Convert to fraction form
    147,710/229,152 = 229,152/x
  3. Step 3: Cross multiply
    147,710x = 229,152 × 229,152
  4. Step 4: Simplify right side
    147,710x = 52,510,639,104
  5. Step 5: Solve for x
    x = 52,510,639,104/147,710
  6. Step 6: Final answer
    x = 355,498.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.