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Finding the Third Proportional to 162,201 and 249,654

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Solution

The third proportional to 162,201 and 249,654 is: 384,258.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,201 : 249,654 = 249,654 : x
  2. Step 2: Convert to fraction form
    162,201/249,654 = 249,654/x
  3. Step 3: Cross multiply
    162,201x = 249,654 × 249,654
  4. Step 4: Simplify right side
    162,201x = 62,327,119,716
  5. Step 5: Solve for x
    x = 62,327,119,716/162,201
  6. Step 6: Final answer
    x = 384,258.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.