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Finding the Third Proportional to 114,628.50 and 249,409.13

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Solution

The third proportional to 114,628.50 and 249,409.13 is: 542,665.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,628.50 : 249,409.13 = 249,409.13 : x
  2. Step 2: Convert to fraction form
    114,628.50/249,409.13 = 249,409.13/x
  3. Step 3: Cross multiply
    114,628.50x = 249,409.13 × 249,409.13
  4. Step 4: Simplify right side
    114,628.50x = 62,204,911,633.27
  5. Step 5: Solve for x
    x = 62,204,911,633.27/114,628.50
  6. Step 6: Final answer
    x = 542,665.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.