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Finding the Third Proportional to 144,058.50 and 210,549.38

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Solution

The third proportional to 144,058.50 and 210,549.38 is: 307,729.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,058.50 : 210,549.38 = 210,549.38 : x
  2. Step 2: Convert to fraction form
    144,058.50/210,549.38 = 210,549.38/x
  3. Step 3: Cross multiply
    144,058.50x = 210,549.38 × 210,549.38
  4. Step 4: Simplify right side
    144,058.50x = 44,331,039,312.89
  5. Step 5: Solve for x
    x = 44,331,039,312.89/144,058.50
  6. Step 6: Final answer
    x = 307,729.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.