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Finding the Third Proportional to 165,858 and 249,984

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Solution

The third proportional to 165,858 and 249,984 is: 376,780.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,858 : 249,984 = 249,984 : x
  2. Step 2: Convert to fraction form
    165,858/249,984 = 249,984/x
  3. Step 3: Cross multiply
    165,858x = 249,984 × 249,984
  4. Step 4: Simplify right side
    165,858x = 62,492,000,256
  5. Step 5: Solve for x
    x = 62,492,000,256/165,858
  6. Step 6: Final answer
    x = 376,780.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.