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Finding the Third Proportional to 190,118.50 and 265,813.75

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Solution

The third proportional to 190,118.50 and 265,813.75 is: 371,646.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,118.50 : 265,813.75 = 265,813.75 : x
  2. Step 2: Convert to fraction form
    190,118.50/265,813.75 = 265,813.75/x
  3. Step 3: Cross multiply
    190,118.50x = 265,813.75 × 265,813.75
  4. Step 4: Simplify right side
    190,118.50x = 70,656,949,689.06
  5. Step 5: Solve for x
    x = 70,656,949,689.06/190,118.50
  6. Step 6: Final answer
    x = 371,646.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.