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Finding the Third Proportional to 147,538.13 and 316,112.63

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Solution

The third proportional to 147,538.13 and 316,112.63 is: 677,297.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,538.13 : 316,112.63 = 316,112.63 : x
  2. Step 2: Convert to fraction form
    147,538.13/316,112.63 = 316,112.63/x
  3. Step 3: Cross multiply
    147,538.13x = 316,112.63 × 316,112.63
  4. Step 4: Simplify right side
    147,538.13x = 99,927,191,684.39
  5. Step 5: Solve for x
    x = 99,927,191,684.39/147,538.13
  6. Step 6: Final answer
    x = 677,297.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.