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Finding the Third Proportional to 194,784.75 and 249,117.75

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Solution

The third proportional to 194,784.75 and 249,117.75 is: 318,606.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,784.75 : 249,117.75 = 249,117.75 : x
  2. Step 2: Convert to fraction form
    194,784.75/249,117.75 = 249,117.75/x
  3. Step 3: Cross multiply
    194,784.75x = 249,117.75 × 249,117.75
  4. Step 4: Simplify right side
    194,784.75x = 62,059,653,365.06
  5. Step 5: Solve for x
    x = 62,059,653,365.06/194,784.75
  6. Step 6: Final answer
    x = 318,606.33

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.