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Finding the Third Proportional to 232,704 and 358,128

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Solution

The third proportional to 232,704 and 358,128 is: 551,153.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,704 : 358,128 = 358,128 : x
  2. Step 2: Convert to fraction form
    232,704/358,128 = 358,128/x
  3. Step 3: Cross multiply
    232,704x = 358,128 × 358,128
  4. Step 4: Simplify right side
    232,704x = 128,255,664,384
  5. Step 5: Solve for x
    x = 128,255,664,384/232,704
  6. Step 6: Final answer
    x = 551,153.67

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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.