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Finding the Third Proportional to 235,401 and 355,315.50

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Solution

The third proportional to 235,401 and 355,315.50 is: 536,315.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,401 : 355,315.50 = 355,315.50 : x
  2. Step 2: Convert to fraction form
    235,401/355,315.50 = 355,315.50/x
  3. Step 3: Cross multiply
    235,401x = 355,315.50 × 355,315.50
  4. Step 4: Simplify right side
    235,401x = 126,249,104,540.25
  5. Step 5: Solve for x
    x = 126,249,104,540.25/235,401
  6. Step 6: Final answer
    x = 536,315.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.