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Finding the Third Proportional to 163,410.75 and 386,369.16

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Solution

The third proportional to 163,410.75 and 386,369.16 is: 913,533.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,410.75 : 386,369.16 = 386,369.16 : x
  2. Step 2: Convert to fraction form
    163,410.75/386,369.16 = 386,369.16/x
  3. Step 3: Cross multiply
    163,410.75x = 386,369.16 × 386,369.16
  4. Step 4: Simplify right side
    163,410.75x = 149,281,124,901.34
  5. Step 5: Solve for x
    x = 149,281,124,901.34/163,410.75
  6. Step 6: Final answer
    x = 913,533.07

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.