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Finding the Third Proportional to 235,201 and 353,332

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Solution

The third proportional to 235,201 and 353,332 is: 530,794.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,201 : 353,332 = 353,332 : x
  2. Step 2: Convert to fraction form
    235,201/353,332 = 353,332/x
  3. Step 3: Cross multiply
    235,201x = 353,332 × 353,332
  4. Step 4: Simplify right side
    235,201x = 124,843,502,224
  5. Step 5: Solve for x
    x = 124,843,502,224/235,201
  6. Step 6: Final answer
    x = 530,794.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.