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Finding the Third Proportional to 147,360 and 321,708

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Solution

The third proportional to 147,360 and 321,708 is: 702,334.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,360 : 321,708 = 321,708 : x
  2. Step 2: Convert to fraction form
    147,360/321,708 = 321,708/x
  3. Step 3: Cross multiply
    147,360x = 321,708 × 321,708
  4. Step 4: Simplify right side
    147,360x = 103,496,037,264
  5. Step 5: Solve for x
    x = 103,496,037,264/147,360
  6. Step 6: Final answer
    x = 702,334.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.