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Finding the Third Proportional to 114,688 and 244,928

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Solution

The third proportional to 114,688 and 244,928 is: 523,068.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,688 : 244,928 = 244,928 : x
  2. Step 2: Convert to fraction form
    114,688/244,928 = 244,928/x
  3. Step 3: Cross multiply
    114,688x = 244,928 × 244,928
  4. Step 4: Simplify right side
    114,688x = 59,989,725,184
  5. Step 5: Solve for x
    x = 59,989,725,184/114,688
  6. Step 6: Final answer
    x = 523,068.89

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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.