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Finding the Third Proportional to 237,681 and 368,054

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Solution

The third proportional to 237,681 and 368,054 is: 569,939.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,681 : 368,054 = 368,054 : x
  2. Step 2: Convert to fraction form
    237,681/368,054 = 368,054/x
  3. Step 3: Cross multiply
    237,681x = 368,054 × 368,054
  4. Step 4: Simplify right side
    237,681x = 135,463,746,916
  5. Step 5: Solve for x
    x = 135,463,746,916/237,681
  6. Step 6: Final answer
    x = 569,939.32

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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.