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Finding the Third Proportional to 113,145.19 and 235,675.69

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Solution

The third proportional to 113,145.19 and 235,675.69 is: 490,900.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,145.19 : 235,675.69 = 235,675.69 : x
  2. Step 2: Convert to fraction form
    113,145.19/235,675.69 = 235,675.69/x
  3. Step 3: Cross multiply
    113,145.19x = 235,675.69 × 235,675.69
  4. Step 4: Simplify right side
    113,145.19x = 55,543,029,678.60
  5. Step 5: Solve for x
    x = 55,543,029,678.60/113,145.19
  6. Step 6: Final answer
    x = 490,900.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.