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Finding the Third Proportional to 163,464.75 and 249,949.13

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Solution

The third proportional to 163,464.75 and 249,949.13 is: 382,189.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,464.75 : 249,949.13 = 249,949.13 : x
  2. Step 2: Convert to fraction form
    163,464.75/249,949.13 = 249,949.13/x
  3. Step 3: Cross multiply
    163,464.75x = 249,949.13 × 249,949.13
  4. Step 4: Simplify right side
    163,464.75x = 62,474,565,088.27
  5. Step 5: Solve for x
    x = 62,474,565,088.27/163,464.75
  6. Step 6: Final answer
    x = 382,189.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.