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Finding the Third Proportional to 166,136 and 249,416

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Solution

The third proportional to 166,136 and 249,416 is: 374,442.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,136 : 249,416 = 249,416 : x
  2. Step 2: Convert to fraction form
    166,136/249,416 = 249,416/x
  3. Step 3: Cross multiply
    166,136x = 249,416 × 249,416
  4. Step 4: Simplify right side
    166,136x = 62,208,341,056
  5. Step 5: Solve for x
    x = 62,208,341,056/166,136
  6. Step 6: Final answer
    x = 374,442.27

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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.