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Finding the Third Proportional to 144,838.13 and 212,071.50

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Solution

The third proportional to 144,838.13 and 212,071.50 is: 310,514.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,838.13 : 212,071.50 = 212,071.50 : x
  2. Step 2: Convert to fraction form
    144,838.13/212,071.50 = 212,071.50/x
  3. Step 3: Cross multiply
    144,838.13x = 212,071.50 × 212,071.50
  4. Step 4: Simplify right side
    144,838.13x = 44,974,321,112.25
  5. Step 5: Solve for x
    x = 44,974,321,112.25/144,838.13
  6. Step 6: Final answer
    x = 310,514.38

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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.