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Finding the Third Proportional to 163,513.50 and 245,433

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Solution

The third proportional to 163,513.50 and 245,433 is: 368,393.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,513.50 : 245,433 = 245,433 : x
  2. Step 2: Convert to fraction form
    163,513.50/245,433 = 245,433/x
  3. Step 3: Cross multiply
    163,513.50x = 245,433 × 245,433
  4. Step 4: Simplify right side
    163,513.50x = 60,237,357,489
  5. Step 5: Solve for x
    x = 60,237,357,489/163,513.50
  6. Step 6: Final answer
    x = 368,393.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.