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Finding the Third Proportional to 162,996 and 249,337

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Solution

The third proportional to 162,996 and 249,337 is: 381,413.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,996 : 249,337 = 249,337 : x
  2. Step 2: Convert to fraction form
    162,996/249,337 = 249,337/x
  3. Step 3: Cross multiply
    162,996x = 249,337 × 249,337
  4. Step 4: Simplify right side
    162,996x = 62,168,939,569
  5. Step 5: Solve for x
    x = 62,168,939,569/162,996
  6. Step 6: Final answer
    x = 381,413.90

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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.