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Finding the Third Proportional to 176,877 and 399,271.50

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Solution

The third proportional to 176,877 and 399,271.50 is: 901,291.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,877 : 399,271.50 = 399,271.50 : x
  2. Step 2: Convert to fraction form
    176,877/399,271.50 = 399,271.50/x
  3. Step 3: Cross multiply
    176,877x = 399,271.50 × 399,271.50
  4. Step 4: Simplify right side
    176,877x = 159,417,730,712.25
  5. Step 5: Solve for x
    x = 159,417,730,712.25/176,877
  6. Step 6: Final answer
    x = 901,291.47

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.