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Finding the Third Proportional to 235,320 and 355,158

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Solution

The third proportional to 235,320 and 355,158 is: 536,024.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,320 : 355,158 = 355,158 : x
  2. Step 2: Convert to fraction form
    235,320/355,158 = 355,158/x
  3. Step 3: Cross multiply
    235,320x = 355,158 × 355,158
  4. Step 4: Simplify right side
    235,320x = 126,137,204,964
  5. Step 5: Solve for x
    x = 126,137,204,964/235,320
  6. Step 6: Final answer
    x = 536,024.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.