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Finding the Third Proportional to 186,138 and 249,682.50

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Solution

The third proportional to 186,138 and 249,682.50 is: 334,920.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,138 : 249,682.50 = 249,682.50 : x
  2. Step 2: Convert to fraction form
    186,138/249,682.50 = 249,682.50/x
  3. Step 3: Cross multiply
    186,138x = 249,682.50 × 249,682.50
  4. Step 4: Simplify right side
    186,138x = 62,341,350,806.25
  5. Step 5: Solve for x
    x = 62,341,350,806.25/186,138
  6. Step 6: Final answer
    x = 334,920.06

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.