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Finding the Third Proportional to 152,404 and 228,598

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Solution

The third proportional to 152,404 and 228,598 is: 342,885.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,404 : 228,598 = 228,598 : x
  2. Step 2: Convert to fraction form
    152,404/228,598 = 228,598/x
  3. Step 3: Cross multiply
    152,404x = 228,598 × 228,598
  4. Step 4: Simplify right side
    152,404x = 52,257,045,604
  5. Step 5: Solve for x
    x = 52,257,045,604/152,404
  6. Step 6: Final answer
    x = 342,885.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.