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Finding the Third Proportional to 166,386 and 249,498

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Solution

The third proportional to 166,386 and 249,498 is: 374,125.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,386 : 249,498 = 249,498 : x
  2. Step 2: Convert to fraction form
    166,386/249,498 = 249,498/x
  3. Step 3: Cross multiply
    166,386x = 249,498 × 249,498
  4. Step 4: Simplify right side
    166,386x = 62,249,252,004
  5. Step 5: Solve for x
    x = 62,249,252,004/166,386
  6. Step 6: Final answer
    x = 374,125.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.