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Finding the Third Proportional to 176,480 and 384,056

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Solution

The third proportional to 176,480 and 384,056 is: 835,783.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,480 : 384,056 = 384,056 : x
  2. Step 2: Convert to fraction form
    176,480/384,056 = 384,056/x
  3. Step 3: Cross multiply
    176,480x = 384,056 × 384,056
  4. Step 4: Simplify right side
    176,480x = 147,499,011,136
  5. Step 5: Solve for x
    x = 147,499,011,136/176,480
  6. Step 6: Final answer
    x = 835,783.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.