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Finding the Third Proportional to 164,618 and 249,231

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Solution

The third proportional to 164,618 and 249,231 is: 377,334.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,618 : 249,231 = 249,231 : x
  2. Step 2: Convert to fraction form
    164,618/249,231 = 249,231/x
  3. Step 3: Cross multiply
    164,618x = 249,231 × 249,231
  4. Step 4: Simplify right side
    164,618x = 62,116,091,361
  5. Step 5: Solve for x
    x = 62,116,091,361/164,618
  6. Step 6: Final answer
    x = 377,334.75

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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.