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Finding the Third Proportional to 237,904 and 368,808

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Solution

The third proportional to 237,904 and 368,808 is: 571,740.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,904 : 368,808 = 368,808 : x
  2. Step 2: Convert to fraction form
    237,904/368,808 = 368,808/x
  3. Step 3: Cross multiply
    237,904x = 368,808 × 368,808
  4. Step 4: Simplify right side
    237,904x = 136,019,340,864
  5. Step 5: Solve for x
    x = 136,019,340,864/237,904
  6. Step 6: Final answer
    x = 571,740.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.