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Finding the Third Proportional to 147,270 and 318,066

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Solution

The third proportional to 147,270 and 318,066 is: 686,942.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,270 : 318,066 = 318,066 : x
  2. Step 2: Convert to fraction form
    147,270/318,066 = 318,066/x
  3. Step 3: Cross multiply
    147,270x = 318,066 × 318,066
  4. Step 4: Simplify right side
    147,270x = 101,165,980,356
  5. Step 5: Solve for x
    x = 101,165,980,356/147,270
  6. Step 6: Final answer
    x = 686,942.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.