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Finding the Third Proportional to 237,520 and 348,504

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Solution

The third proportional to 237,520 and 348,504 is: 511,346.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,520 : 348,504 = 348,504 : x
  2. Step 2: Convert to fraction form
    237,520/348,504 = 348,504/x
  3. Step 3: Cross multiply
    237,520x = 348,504 × 348,504
  4. Step 4: Simplify right side
    237,520x = 121,455,038,016
  5. Step 5: Solve for x
    x = 121,455,038,016/237,520
  6. Step 6: Final answer
    x = 511,346.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.