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Finding the Third Proportional to 176,671.50 and 386,988

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Solution

The third proportional to 176,671.50 and 386,988 is: 847,673.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,671.50 : 386,988 = 386,988 : x
  2. Step 2: Convert to fraction form
    176,671.50/386,988 = 386,988/x
  3. Step 3: Cross multiply
    176,671.50x = 386,988 × 386,988
  4. Step 4: Simplify right side
    176,671.50x = 149,759,712,144
  5. Step 5: Solve for x
    x = 149,759,712,144/176,671.50
  6. Step 6: Final answer
    x = 847,673.29

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.