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Finding the Third Proportional to 160,050 and 228,726

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Solution

The third proportional to 160,050 and 228,726 is: 326,870.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,050 : 228,726 = 228,726 : x
  2. Step 2: Convert to fraction form
    160,050/228,726 = 228,726/x
  3. Step 3: Cross multiply
    160,050x = 228,726 × 228,726
  4. Step 4: Simplify right side
    160,050x = 52,315,583,076
  5. Step 5: Solve for x
    x = 52,315,583,076/160,050
  6. Step 6: Final answer
    x = 326,870.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.