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Finding the Third Proportional to 180,265 and 417,302.50

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Solution

The third proportional to 180,265 and 417,302.50 is: 966,029.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,265 : 417,302.50 = 417,302.50 : x
  2. Step 2: Convert to fraction form
    180,265/417,302.50 = 417,302.50/x
  3. Step 3: Cross multiply
    180,265x = 417,302.50 × 417,302.50
  4. Step 4: Simplify right side
    180,265x = 174,141,376,506.25
  5. Step 5: Solve for x
    x = 174,141,376,506.25/180,265
  6. Step 6: Final answer
    x = 966,029.88

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.