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Finding the Third Proportional to 153,205 and 228,880

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Solution

The third proportional to 153,205 and 228,880 is: 341,934.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,205 : 228,880 = 228,880 : x
  2. Step 2: Convert to fraction form
    153,205/228,880 = 228,880/x
  3. Step 3: Cross multiply
    153,205x = 228,880 × 228,880
  4. Step 4: Simplify right side
    153,205x = 52,386,054,400
  5. Step 5: Solve for x
    x = 52,386,054,400/153,205
  6. Step 6: Final answer
    x = 341,934.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.