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Finding the Third Proportional to 199,973.81 and 328,460.06

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Solution

The third proportional to 199,973.81 and 328,460.06 is: 539,500.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,973.81 : 328,460.06 = 328,460.06 : x
  2. Step 2: Convert to fraction form
    199,973.81/328,460.06 = 328,460.06/x
  3. Step 3: Cross multiply
    199,973.81x = 328,460.06 × 328,460.06
  4. Step 4: Simplify right side
    199,973.81x = 107,886,012,657.50
  5. Step 5: Solve for x
    x = 107,886,012,657.50/199,973.81
  6. Step 6: Final answer
    x = 539,500.70

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.