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Finding the Third Proportional to 116,457.75 and 249,728.06

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Solution

The third proportional to 116,457.75 and 249,728.06 is: 535,508.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,457.75 : 249,728.06 = 249,728.06 : x
  2. Step 2: Convert to fraction form
    116,457.75/249,728.06 = 249,728.06/x
  3. Step 3: Cross multiply
    116,457.75x = 249,728.06 × 249,728.06
  4. Step 4: Simplify right side
    116,457.75x = 62,364,105,200.00
  5. Step 5: Solve for x
    x = 62,364,105,200.00/116,457.75
  6. Step 6: Final answer
    x = 535,508.42

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.