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Finding the Third Proportional to 147,869.63 and 320,652

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Solution

The third proportional to 147,869.63 and 320,652 is: 695,326.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,869.63 : 320,652 = 320,652 : x
  2. Step 2: Convert to fraction form
    147,869.63/320,652 = 320,652/x
  3. Step 3: Cross multiply
    147,869.63x = 320,652 × 320,652
  4. Step 4: Simplify right side
    147,869.63x = 102,817,705,104
  5. Step 5: Solve for x
    x = 102,817,705,104/147,869.63
  6. Step 6: Final answer
    x = 695,326.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.