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Finding the Third Proportional to 233,496 and 370,224

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Solution

The third proportional to 233,496 and 370,224 is: 587,015.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,496 : 370,224 = 370,224 : x
  2. Step 2: Convert to fraction form
    233,496/370,224 = 370,224/x
  3. Step 3: Cross multiply
    233,496x = 370,224 × 370,224
  4. Step 4: Simplify right side
    233,496x = 137,065,810,176
  5. Step 5: Solve for x
    x = 137,065,810,176/233,496
  6. Step 6: Final answer
    x = 587,015.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.