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Finding the Third Proportional to 155,594 and 228,441

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Solution

The third proportional to 155,594 and 228,441 is: 335,393.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,594 : 228,441 = 228,441 : x
  2. Step 2: Convert to fraction form
    155,594/228,441 = 228,441/x
  3. Step 3: Cross multiply
    155,594x = 228,441 × 228,441
  4. Step 4: Simplify right side
    155,594x = 52,185,290,481
  5. Step 5: Solve for x
    x = 52,185,290,481/155,594
  6. Step 6: Final answer
    x = 335,393.98

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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.