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Finding the Third Proportional to 97,262 and 228,995

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Solution

The third proportional to 97,262 and 228,995 is: 539,149.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,262 : 228,995 = 228,995 : x
  2. Step 2: Convert to fraction form
    97,262/228,995 = 228,995/x
  3. Step 3: Cross multiply
    97,262x = 228,995 × 228,995
  4. Step 4: Simplify right side
    97,262x = 52,438,710,025
  5. Step 5: Solve for x
    x = 52,438,710,025/97,262
  6. Step 6: Final answer
    x = 539,149.00

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.