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Finding the Third Proportional to 165,857 and 249,618

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Solution

The third proportional to 165,857 and 249,618 is: 375,679.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,857 : 249,618 = 249,618 : x
  2. Step 2: Convert to fraction form
    165,857/249,618 = 249,618/x
  3. Step 3: Cross multiply
    165,857x = 249,618 × 249,618
  4. Step 4: Simplify right side
    165,857x = 62,309,145,924
  5. Step 5: Solve for x
    x = 62,309,145,924/165,857
  6. Step 6: Final answer
    x = 375,679.93

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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.