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Finding the Third Proportional to 162,927.75 and 249,239.50

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Solution

The third proportional to 162,927.75 and 249,239.50 is: 381,275.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,927.75 : 249,239.50 = 249,239.50 : x
  2. Step 2: Convert to fraction form
    162,927.75/249,239.50 = 249,239.50/x
  3. Step 3: Cross multiply
    162,927.75x = 249,239.50 × 249,239.50
  4. Step 4: Simplify right side
    162,927.75x = 62,120,328,360.25
  5. Step 5: Solve for x
    x = 62,120,328,360.25/162,927.75
  6. Step 6: Final answer
    x = 381,275.31

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.