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Finding the Third Proportional to 162,991.69 and 249,332.63

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Solution

The third proportional to 162,991.69 and 249,332.63 is: 381,410.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,991.69 : 249,332.63 = 249,332.63 : x
  2. Step 2: Convert to fraction form
    162,991.69/249,332.63 = 249,332.63/x
  3. Step 3: Cross multiply
    162,991.69x = 249,332.63 × 249,332.63
  4. Step 4: Simplify right side
    162,991.69x = 62,166,757,889.39
  5. Step 5: Solve for x
    x = 62,166,757,889.39/162,991.69
  6. Step 6: Final answer
    x = 381,410.60

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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.