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Finding the Third Proportional to 237,888 and 368,784

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Solution

The third proportional to 237,888 and 368,784 is: 571,704.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,888 : 368,784 = 368,784 : x
  2. Step 2: Convert to fraction form
    237,888/368,784 = 368,784/x
  3. Step 3: Cross multiply
    237,888x = 368,784 × 368,784
  4. Step 4: Simplify right side
    237,888x = 136,001,638,656
  5. Step 5: Solve for x
    x = 136,001,638,656/237,888
  6. Step 6: Final answer
    x = 571,704.49

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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.