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Finding the Third Proportional to 177,559 and 249,752

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Solution

The third proportional to 177,559 and 249,752 is: 351,297.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,559 : 249,752 = 249,752 : x
  2. Step 2: Convert to fraction form
    177,559/249,752 = 249,752/x
  3. Step 3: Cross multiply
    177,559x = 249,752 × 249,752
  4. Step 4: Simplify right side
    177,559x = 62,376,061,504
  5. Step 5: Solve for x
    x = 62,376,061,504/177,559
  6. Step 6: Final answer
    x = 351,297.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.