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Finding the Third Proportional to 113,820.75 and 249,323.06

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Solution

The third proportional to 113,820.75 and 249,323.06 is: 546,139.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,820.75 : 249,323.06 = 249,323.06 : x
  2. Step 2: Convert to fraction form
    113,820.75/249,323.06 = 249,323.06/x
  3. Step 3: Cross multiply
    113,820.75x = 249,323.06 × 249,323.06
  4. Step 4: Simplify right side
    113,820.75x = 62,161,989,494.38
  5. Step 5: Solve for x
    x = 62,161,989,494.38/113,820.75
  6. Step 6: Final answer
    x = 546,139.34

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.