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Finding the Third Proportional to 249,097.50 and 386,768.81

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Solution

The third proportional to 249,097.50 and 386,768.81 is: 600,528.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,097.50 : 386,768.81 = 386,768.81 : x
  2. Step 2: Convert to fraction form
    249,097.50/386,768.81 = 386,768.81/x
  3. Step 3: Cross multiply
    249,097.50x = 386,768.81 × 386,768.81
  4. Step 4: Simplify right side
    249,097.50x = 149,590,114,322.66
  5. Step 5: Solve for x
    x = 149,590,114,322.66/249,097.50
  6. Step 6: Final answer
    x = 600,528.36

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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.