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Finding the Third Proportional to 182,551.50 and 399,513

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Solution

The third proportional to 182,551.50 and 399,513 is: 874,332.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,551.50 : 399,513 = 399,513 : x
  2. Step 2: Convert to fraction form
    182,551.50/399,513 = 399,513/x
  3. Step 3: Cross multiply
    182,551.50x = 399,513 × 399,513
  4. Step 4: Simplify right side
    182,551.50x = 159,610,637,169
  5. Step 5: Solve for x
    x = 159,610,637,169/182,551.50
  6. Step 6: Final answer
    x = 874,332.10

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Why These Related Problems?

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