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Finding the Third Proportional to 155,495 and 327,594

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Solution

The third proportional to 155,495 and 327,594 is: 690,169.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,495 : 327,594 = 327,594 : x
  2. Step 2: Convert to fraction form
    155,495/327,594 = 327,594/x
  3. Step 3: Cross multiply
    155,495x = 327,594 × 327,594
  4. Step 4: Simplify right side
    155,495x = 107,317,828,836
  5. Step 5: Solve for x
    x = 107,317,828,836/155,495
  6. Step 6: Final answer
    x = 690,169.00

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.