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Finding the Third Proportional to 137,280 and 300,804

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Solution

The third proportional to 137,280 and 300,804 is: 659,113.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,280 : 300,804 = 300,804 : x
  2. Step 2: Convert to fraction form
    137,280/300,804 = 300,804/x
  3. Step 3: Cross multiply
    137,280x = 300,804 × 300,804
  4. Step 4: Simplify right side
    137,280x = 90,483,046,416
  5. Step 5: Solve for x
    x = 90,483,046,416/137,280
  6. Step 6: Final answer
    x = 659,113.10

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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.