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Finding the Third Proportional to 229,912 and 354,709

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Solution

The third proportional to 229,912 and 354,709 is: 547,246.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,912 : 354,709 = 354,709 : x
  2. Step 2: Convert to fraction form
    229,912/354,709 = 354,709/x
  3. Step 3: Cross multiply
    229,912x = 354,709 × 354,709
  4. Step 4: Simplify right side
    229,912x = 125,818,474,681
  5. Step 5: Solve for x
    x = 125,818,474,681/229,912
  6. Step 6: Final answer
    x = 547,246.23

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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.