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Finding the Third Proportional to 176,688 and 383,076

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Solution

The third proportional to 176,688 and 383,076 is: 830,544.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,688 : 383,076 = 383,076 : x
  2. Step 2: Convert to fraction form
    176,688/383,076 = 383,076/x
  3. Step 3: Cross multiply
    176,688x = 383,076 × 383,076
  4. Step 4: Simplify right side
    176,688x = 146,747,221,776
  5. Step 5: Solve for x
    x = 146,747,221,776/176,688
  6. Step 6: Final answer
    x = 830,544.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.