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Finding the Third Proportional to 153,334.90 and 314,321.45

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Solution

The third proportional to 153,334.90 and 314,321.45 is: 644,328.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,334.90 : 314,321.45 = 314,321.45 : x
  2. Step 2: Convert to fraction form
    153,334.90/314,321.45 = 314,321.45/x
  3. Step 3: Cross multiply
    153,334.90x = 314,321.45 × 314,321.45
  4. Step 4: Simplify right side
    153,334.90x = 98,797,973,438.98
  5. Step 5: Solve for x
    x = 98,797,973,438.98/153,334.90
  6. Step 6: Final answer
    x = 644,328.03

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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.