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Finding the Third Proportional to 175,617 and 377,860.50

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Solution

The third proportional to 175,617 and 377,860.50 is: 813,011.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,617 : 377,860.50 = 377,860.50 : x
  2. Step 2: Convert to fraction form
    175,617/377,860.50 = 377,860.50/x
  3. Step 3: Cross multiply
    175,617x = 377,860.50 × 377,860.50
  4. Step 4: Simplify right side
    175,617x = 142,778,557,460.25
  5. Step 5: Solve for x
    x = 142,778,557,460.25/175,617
  6. Step 6: Final answer
    x = 813,011.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.