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Finding the Third Proportional to 265,333.50 and 420,135.75

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Solution

The third proportional to 265,333.50 and 420,135.75 is: 665,253.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,333.50 : 420,135.75 = 420,135.75 : x
  2. Step 2: Convert to fraction form
    265,333.50/420,135.75 = 420,135.75/x
  3. Step 3: Cross multiply
    265,333.50x = 420,135.75 × 420,135.75
  4. Step 4: Simplify right side
    265,333.50x = 176,514,048,428.06
  5. Step 5: Solve for x
    x = 176,514,048,428.06/265,333.50
  6. Step 6: Final answer
    x = 665,253.53

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.