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Finding the Third Proportional to 174,688 and 277,056

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Solution

The third proportional to 174,688 and 277,056 is: 439,412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,688 : 277,056 = 277,056 : x
  2. Step 2: Convert to fraction form
    174,688/277,056 = 277,056/x
  3. Step 3: Cross multiply
    174,688x = 277,056 × 277,056
  4. Step 4: Simplify right side
    174,688x = 76,760,027,136
  5. Step 5: Solve for x
    x = 76,760,027,136/174,688
  6. Step 6: Final answer
    x = 439,412.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.