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Finding the Third Proportional to 232,308 and 341,658

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Solution

The third proportional to 232,308 and 341,658 is: 502,480.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,308 : 341,658 = 341,658 : x
  2. Step 2: Convert to fraction form
    232,308/341,658 = 341,658/x
  3. Step 3: Cross multiply
    232,308x = 341,658 × 341,658
  4. Step 4: Simplify right side
    232,308x = 116,730,188,964
  5. Step 5: Solve for x
    x = 116,730,188,964/232,308
  6. Step 6: Final answer
    x = 502,480.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.