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Finding the Third Proportional to 155,044 and 337,778

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Solution

The third proportional to 155,044 and 337,778 is: 735,881.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,044 : 337,778 = 337,778 : x
  2. Step 2: Convert to fraction form
    155,044/337,778 = 337,778/x
  3. Step 3: Cross multiply
    155,044x = 337,778 × 337,778
  4. Step 4: Simplify right side
    155,044x = 114,093,977,284
  5. Step 5: Solve for x
    x = 114,093,977,284/155,044
  6. Step 6: Final answer
    x = 735,881.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.