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Finding the Third Proportional to 146,356 and 315,284

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Solution

The third proportional to 146,356 and 315,284 is: 679,193.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,356 : 315,284 = 315,284 : x
  2. Step 2: Convert to fraction form
    146,356/315,284 = 315,284/x
  3. Step 3: Cross multiply
    146,356x = 315,284 × 315,284
  4. Step 4: Simplify right side
    146,356x = 99,404,000,656
  5. Step 5: Solve for x
    x = 99,404,000,656/146,356
  6. Step 6: Final answer
    x = 679,193.20

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.