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Finding the Third Proportional to 141,213 and 216,328.50

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Solution

The third proportional to 141,213 and 216,328.50 is: 331,400.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,213 : 216,328.50 = 216,328.50 : x
  2. Step 2: Convert to fraction form
    141,213/216,328.50 = 216,328.50/x
  3. Step 3: Cross multiply
    141,213x = 216,328.50 × 216,328.50
  4. Step 4: Simplify right side
    141,213x = 46,798,019,912.25
  5. Step 5: Solve for x
    x = 46,798,019,912.25/141,213
  6. Step 6: Final answer
    x = 331,400.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.