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Finding the Third Proportional to 228,322.50 and 361,521

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Solution

The third proportional to 228,322.50 and 361,521 is: 572,424.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,322.50 : 361,521 = 361,521 : x
  2. Step 2: Convert to fraction form
    228,322.50/361,521 = 361,521/x
  3. Step 3: Cross multiply
    228,322.50x = 361,521 × 361,521
  4. Step 4: Simplify right side
    228,322.50x = 130,697,433,441
  5. Step 5: Solve for x
    x = 130,697,433,441/228,322.50
  6. Step 6: Final answer
    x = 572,424.68

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.