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Finding the Third Proportional to 133,748 and 297,020

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Solution

The third proportional to 133,748 and 297,020 is: 659,605.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,748 : 297,020 = 297,020 : x
  2. Step 2: Convert to fraction form
    133,748/297,020 = 297,020/x
  3. Step 3: Cross multiply
    133,748x = 297,020 × 297,020
  4. Step 4: Simplify right side
    133,748x = 88,220,880,400
  5. Step 5: Solve for x
    x = 88,220,880,400/133,748
  6. Step 6: Final answer
    x = 659,605.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.