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Finding the Third Proportional to 155,228 and 339,514.50

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Solution

The third proportional to 155,228 and 339,514.50 is: 742,585.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,228 : 339,514.50 = 339,514.50 : x
  2. Step 2: Convert to fraction form
    155,228/339,514.50 = 339,514.50/x
  3. Step 3: Cross multiply
    155,228x = 339,514.50 × 339,514.50
  4. Step 4: Simplify right side
    155,228x = 115,270,095,710.25
  5. Step 5: Solve for x
    x = 115,270,095,710.25/155,228
  6. Step 6: Final answer
    x = 742,585.72

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.