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Finding the Third Proportional to 229,320 and 347,440

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Solution

The third proportional to 229,320 and 347,440 is: 526,402.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,320 : 347,440 = 347,440 : x
  2. Step 2: Convert to fraction form
    229,320/347,440 = 347,440/x
  3. Step 3: Cross multiply
    229,320x = 347,440 × 347,440
  4. Step 4: Simplify right side
    229,320x = 120,714,553,600
  5. Step 5: Solve for x
    x = 120,714,553,600/229,320
  6. Step 6: Final answer
    x = 526,402.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.