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Finding the Third Proportional to 237,502 and 355,066

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Solution

The third proportional to 237,502 and 355,066 is: 530,824.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,502 : 355,066 = 355,066 : x
  2. Step 2: Convert to fraction form
    237,502/355,066 = 355,066/x
  3. Step 3: Cross multiply
    237,502x = 355,066 × 355,066
  4. Step 4: Simplify right side
    237,502x = 126,071,864,356
  5. Step 5: Solve for x
    x = 126,071,864,356/237,502
  6. Step 6: Final answer
    x = 530,824.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.