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Finding the Third Proportional to 163,414.13 and 245,038.50

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Solution

The third proportional to 163,414.13 and 245,038.50 is: 367,433.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,414.13 : 245,038.50 = 245,038.50 : x
  2. Step 2: Convert to fraction form
    163,414.13/245,038.50 = 245,038.50/x
  3. Step 3: Cross multiply
    163,414.13x = 245,038.50 × 245,038.50
  4. Step 4: Simplify right side
    163,414.13x = 60,043,866,482.25
  5. Step 5: Solve for x
    x = 60,043,866,482.25/163,414.13
  6. Step 6: Final answer
    x = 367,433.76

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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.