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Finding the Third Proportional to 155,537 and 228,334

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Solution

The third proportional to 155,537 and 228,334 is: 335,202.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,537 : 228,334 = 228,334 : x
  2. Step 2: Convert to fraction form
    155,537/228,334 = 228,334/x
  3. Step 3: Cross multiply
    155,537x = 228,334 × 228,334
  4. Step 4: Simplify right side
    155,537x = 52,136,415,556
  5. Step 5: Solve for x
    x = 52,136,415,556/155,537
  6. Step 6: Final answer
    x = 335,202.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.