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Finding the Third Proportional to 137,608 and 301,464

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Solution

The third proportional to 137,608 and 301,464 is: 660,430.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,608 : 301,464 = 301,464 : x
  2. Step 2: Convert to fraction form
    137,608/301,464 = 301,464/x
  3. Step 3: Cross multiply
    137,608x = 301,464 × 301,464
  4. Step 4: Simplify right side
    137,608x = 90,880,543,296
  5. Step 5: Solve for x
    x = 90,880,543,296/137,608
  6. Step 6: Final answer
    x = 660,430.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.