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Finding the Third Proportional to 162,046.13 and 256,533.19

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Solution

The third proportional to 162,046.13 and 256,533.19 is: 406,114.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,046.13 : 256,533.19 = 256,533.19 : x
  2. Step 2: Convert to fraction form
    162,046.13/256,533.19 = 256,533.19/x
  3. Step 3: Cross multiply
    162,046.13x = 256,533.19 × 256,533.19
  4. Step 4: Simplify right side
    162,046.13x = 65,809,276,288.91
  5. Step 5: Solve for x
    x = 65,809,276,288.91/162,046.13
  6. Step 6: Final answer
    x = 406,114.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.