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Finding the Third Proportional to 155,702.25 and 314,138.25

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Solution

The third proportional to 155,702.25 and 314,138.25 is: 633,792.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,702.25 : 314,138.25 = 314,138.25 : x
  2. Step 2: Convert to fraction form
    155,702.25/314,138.25 = 314,138.25/x
  3. Step 3: Cross multiply
    155,702.25x = 314,138.25 × 314,138.25
  4. Step 4: Simplify right side
    155,702.25x = 98,682,840,113.06
  5. Step 5: Solve for x
    x = 98,682,840,113.06/155,702.25
  6. Step 6: Final answer
    x = 633,792.00

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.