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Finding the Third Proportional to 136,550 and 297,066

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Solution

The third proportional to 136,550 and 297,066 is: 646,270.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,550 : 297,066 = 297,066 : x
  2. Step 2: Convert to fraction form
    136,550/297,066 = 297,066/x
  3. Step 3: Cross multiply
    136,550x = 297,066 × 297,066
  4. Step 4: Simplify right side
    136,550x = 88,248,208,356
  5. Step 5: Solve for x
    x = 88,248,208,356/136,550
  6. Step 6: Final answer
    x = 646,270.29

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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.