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Finding the Third Proportional to 155,538 and 228,202

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Solution

The third proportional to 155,538 and 228,202 is: 334,813.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,538 : 228,202 = 228,202 : x
  2. Step 2: Convert to fraction form
    155,538/228,202 = 228,202/x
  3. Step 3: Cross multiply
    155,538x = 228,202 × 228,202
  4. Step 4: Simplify right side
    155,538x = 52,076,152,804
  5. Step 5: Solve for x
    x = 52,076,152,804/155,538
  6. Step 6: Final answer
    x = 334,813.05

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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.