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Finding the Third Proportional to 163,024.50 and 336,525

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Solution

The third proportional to 163,024.50 and 336,525 is: 694,675.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,024.50 : 336,525 = 336,525 : x
  2. Step 2: Convert to fraction form
    163,024.50/336,525 = 336,525/x
  3. Step 3: Cross multiply
    163,024.50x = 336,525 × 336,525
  4. Step 4: Simplify right side
    163,024.50x = 113,249,075,625
  5. Step 5: Solve for x
    x = 113,249,075,625/163,024.50
  6. Step 6: Final answer
    x = 694,675.19

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.