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Finding the Third Proportional to 163,177.11 and 249,455.76

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Solution

The third proportional to 163,177.11 and 249,455.76 is: 381,353.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,177.11 : 249,455.76 = 249,455.76 : x
  2. Step 2: Convert to fraction form
    163,177.11/249,455.76 = 249,455.76/x
  3. Step 3: Cross multiply
    163,177.11x = 249,455.76 × 249,455.76
  4. Step 4: Simplify right side
    163,177.11x = 62,228,173,887.77
  5. Step 5: Solve for x
    x = 62,228,173,887.77/163,177.11
  6. Step 6: Final answer
    x = 381,353.57

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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.