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Finding the Third Proportional to 236,044 and 360,948

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Solution

The third proportional to 236,044 and 360,948 is: 551,945.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,044 : 360,948 = 360,948 : x
  2. Step 2: Convert to fraction form
    236,044/360,948 = 360,948/x
  3. Step 3: Cross multiply
    236,044x = 360,948 × 360,948
  4. Step 4: Simplify right side
    236,044x = 130,283,458,704
  5. Step 5: Solve for x
    x = 130,283,458,704/236,044
  6. Step 6: Final answer
    x = 551,945.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.