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Finding the Third Proportional to 114,552 and 245,628

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Solution

The third proportional to 114,552 and 245,628 is: 526,687.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,552 : 245,628 = 245,628 : x
  2. Step 2: Convert to fraction form
    114,552/245,628 = 245,628/x
  3. Step 3: Cross multiply
    114,552x = 245,628 × 245,628
  4. Step 4: Simplify right side
    114,552x = 60,333,114,384
  5. Step 5: Solve for x
    x = 60,333,114,384/114,552
  6. Step 6: Final answer
    x = 526,687.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.