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Finding the Third Proportional to 254,368.50 and 393,687.50

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Solution

The third proportional to 254,368.50 and 393,687.50 is: 609,312.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,368.50 : 393,687.50 = 393,687.50 : x
  2. Step 2: Convert to fraction form
    254,368.50/393,687.50 = 393,687.50/x
  3. Step 3: Cross multiply
    254,368.50x = 393,687.50 × 393,687.50
  4. Step 4: Simplify right side
    254,368.50x = 154,989,847,656.25
  5. Step 5: Solve for x
    x = 154,989,847,656.25/254,368.50
  6. Step 6: Final answer
    x = 609,312.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.