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Finding the Third Proportional to 208,417.50 and 322,924.50

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Solution

The third proportional to 208,417.50 and 322,924.50 is: 500,342.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,417.50 : 322,924.50 = 322,924.50 : x
  2. Step 2: Convert to fraction form
    208,417.50/322,924.50 = 322,924.50/x
  3. Step 3: Cross multiply
    208,417.50x = 322,924.50 × 322,924.50
  4. Step 4: Simplify right side
    208,417.50x = 104,280,232,700.25
  5. Step 5: Solve for x
    x = 104,280,232,700.25/208,417.50
  6. Step 6: Final answer
    x = 500,342.98

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.