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Finding the Third Proportional to 163,434.38 and 245,143.13

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Solution

The third proportional to 163,434.38 and 245,143.13 is: 367,702.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,434.38 : 245,143.13 = 245,143.13 : x
  2. Step 2: Convert to fraction form
    163,434.38/245,143.13 = 245,143.13/x
  3. Step 3: Cross multiply
    163,434.38x = 245,143.13 × 245,143.13
  4. Step 4: Simplify right side
    163,434.38x = 60,095,151,734.77
  5. Step 5: Solve for x
    x = 60,095,151,734.77/163,434.38
  6. Step 6: Final answer
    x = 367,702.03

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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.