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Finding the Third Proportional to 163,866 and 249,219.50

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Solution

The third proportional to 163,866 and 249,219.50 is: 379,031.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,866 : 249,219.50 = 249,219.50 : x
  2. Step 2: Convert to fraction form
    163,866/249,219.50 = 249,219.50/x
  3. Step 3: Cross multiply
    163,866x = 249,219.50 × 249,219.50
  4. Step 4: Simplify right side
    163,866x = 62,110,359,180.25
  5. Step 5: Solve for x
    x = 62,110,359,180.25/163,866
  6. Step 6: Final answer
    x = 379,031.40

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.