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Finding the Third Proportional to 114,527 and 178,335

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Solution

The third proportional to 114,527 and 178,335 is: 277,693.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,527 : 178,335 = 178,335 : x
  2. Step 2: Convert to fraction form
    114,527/178,335 = 178,335/x
  3. Step 3: Cross multiply
    114,527x = 178,335 × 178,335
  4. Step 4: Simplify right side
    114,527x = 31,803,372,225
  5. Step 5: Solve for x
    x = 31,803,372,225/114,527
  6. Step 6: Final answer
    x = 277,693.23

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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.