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Finding the Third Proportional to 163,077 and 249,479

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Solution

The third proportional to 163,077 and 249,479 is: 381,658.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,077 : 249,479 = 249,479 : x
  2. Step 2: Convert to fraction form
    163,077/249,479 = 249,479/x
  3. Step 3: Cross multiply
    163,077x = 249,479 × 249,479
  4. Step 4: Simplify right side
    163,077x = 62,239,771,441
  5. Step 5: Solve for x
    x = 62,239,771,441/163,077
  6. Step 6: Final answer
    x = 381,658.80

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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.