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Finding the Third Proportional to 160,618 and 249,823

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Solution

The third proportional to 160,618 and 249,823 is: 388,571.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,618 : 249,823 = 249,823 : x
  2. Step 2: Convert to fraction form
    160,618/249,823 = 249,823/x
  3. Step 3: Cross multiply
    160,618x = 249,823 × 249,823
  4. Step 4: Simplify right side
    160,618x = 62,411,531,329
  5. Step 5: Solve for x
    x = 62,411,531,329/160,618
  6. Step 6: Final answer
    x = 388,571.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.