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Finding the Third Proportional to 144,345.38 and 316,985.06

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Solution

The third proportional to 144,345.38 and 316,985.06 is: 696,104.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,345.38 : 316,985.06 = 316,985.06 : x
  2. Step 2: Convert to fraction form
    144,345.38/316,985.06 = 316,985.06/x
  3. Step 3: Cross multiply
    144,345.38x = 316,985.06 × 316,985.06
  4. Step 4: Simplify right side
    144,345.38x = 100,479,529,848.13
  5. Step 5: Solve for x
    x = 100,479,529,848.13/144,345.38
  6. Step 6: Final answer
    x = 696,104.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.