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Finding the Third Proportional to 166,366 and 249,263

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Solution

The third proportional to 166,366 and 249,263 is: 373,465.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,366 : 249,263 = 249,263 : x
  2. Step 2: Convert to fraction form
    166,366/249,263 = 249,263/x
  3. Step 3: Cross multiply
    166,366x = 249,263 × 249,263
  4. Step 4: Simplify right side
    166,366x = 62,132,043,169
  5. Step 5: Solve for x
    x = 62,132,043,169/166,366
  6. Step 6: Final answer
    x = 373,465.99

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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.