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Finding the Third Proportional to 249,896.81 and 357,103.69

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Solution

The third proportional to 249,896.81 and 357,103.69 is: 510,302.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,896.81 : 357,103.69 = 357,103.69 : x
  2. Step 2: Convert to fraction form
    249,896.81/357,103.69 = 357,103.69/x
  3. Step 3: Cross multiply
    249,896.81x = 357,103.69 × 357,103.69
  4. Step 4: Simplify right side
    249,896.81x = 127,523,043,626.10
  5. Step 5: Solve for x
    x = 127,523,043,626.10/249,896.81
  6. Step 6: Final answer
    x = 510,302.80

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.