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Finding the Third Proportional to 157,504 and 237,066

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Solution

The third proportional to 157,504 and 237,066 is: 356,818.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,504 : 237,066 = 237,066 : x
  2. Step 2: Convert to fraction form
    157,504/237,066 = 237,066/x
  3. Step 3: Cross multiply
    157,504x = 237,066 × 237,066
  4. Step 4: Simplify right side
    157,504x = 56,200,288,356
  5. Step 5: Solve for x
    x = 56,200,288,356/157,504
  6. Step 6: Final answer
    x = 356,818.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.