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Finding the Third Proportional to 163,006 and 249,353

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Solution

The third proportional to 163,006 and 249,353 is: 381,439.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,006 : 249,353 = 249,353 : x
  2. Step 2: Convert to fraction form
    163,006/249,353 = 249,353/x
  3. Step 3: Cross multiply
    163,006x = 249,353 × 249,353
  4. Step 4: Simplify right side
    163,006x = 62,176,918,609
  5. Step 5: Solve for x
    x = 62,176,918,609/163,006
  6. Step 6: Final answer
    x = 381,439.45

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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.