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Finding the Third Proportional to 165,974 and 249,082

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Solution

The third proportional to 165,974 and 249,082 is: 373,804.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,974 : 249,082 = 249,082 : x
  2. Step 2: Convert to fraction form
    165,974/249,082 = 249,082/x
  3. Step 3: Cross multiply
    165,974x = 249,082 × 249,082
  4. Step 4: Simplify right side
    165,974x = 62,041,842,724
  5. Step 5: Solve for x
    x = 62,041,842,724/165,974
  6. Step 6: Final answer
    x = 373,804.59

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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.