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Finding the Third Proportional to 175,513.50 and 377,283

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Solution

The third proportional to 175,513.50 and 377,283 is: 811,005.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,513.50 : 377,283 = 377,283 : x
  2. Step 2: Convert to fraction form
    175,513.50/377,283 = 377,283/x
  3. Step 3: Cross multiply
    175,513.50x = 377,283 × 377,283
  4. Step 4: Simplify right side
    175,513.50x = 142,342,462,089
  5. Step 5: Solve for x
    x = 142,342,462,089/175,513.50
  6. Step 6: Final answer
    x = 811,005.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.