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Finding the Third Proportional to 155,346 and 332,826

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Solution

The third proportional to 155,346 and 332,826 is: 713,073.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,346 : 332,826 = 332,826 : x
  2. Step 2: Convert to fraction form
    155,346/332,826 = 332,826/x
  3. Step 3: Cross multiply
    155,346x = 332,826 × 332,826
  4. Step 4: Simplify right side
    155,346x = 110,773,146,276
  5. Step 5: Solve for x
    x = 110,773,146,276/155,346
  6. Step 6: Final answer
    x = 713,073.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.