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Finding the Third Proportional to 153,623.25 and 314,626.50

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Solution

The third proportional to 153,623.25 and 314,626.50 is: 644,367.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,623.25 : 314,626.50 = 314,626.50 : x
  2. Step 2: Convert to fraction form
    153,623.25/314,626.50 = 314,626.50/x
  3. Step 3: Cross multiply
    153,623.25x = 314,626.50 × 314,626.50
  4. Step 4: Simplify right side
    153,623.25x = 98,989,834,502.25
  5. Step 5: Solve for x
    x = 98,989,834,502.25/153,623.25
  6. Step 6: Final answer
    x = 644,367.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.