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Finding the Third Proportional to 229,324 and 354,210

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Solution

The third proportional to 229,324 and 354,210 is: 547,106.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,324 : 354,210 = 354,210 : x
  2. Step 2: Convert to fraction form
    229,324/354,210 = 354,210/x
  3. Step 3: Cross multiply
    229,324x = 354,210 × 354,210
  4. Step 4: Simplify right side
    229,324x = 125,464,724,100
  5. Step 5: Solve for x
    x = 125,464,724,100/229,324
  6. Step 6: Final answer
    x = 547,106.82

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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.