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Finding the Third Proportional to 249,930 and 387,106.50

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Solution

The third proportional to 249,930 and 387,106.50 is: 599,573.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,930 : 387,106.50 = 387,106.50 : x
  2. Step 2: Convert to fraction form
    249,930/387,106.50 = 387,106.50/x
  3. Step 3: Cross multiply
    249,930x = 387,106.50 × 387,106.50
  4. Step 4: Simplify right side
    249,930x = 149,851,442,342.25
  5. Step 5: Solve for x
    x = 149,851,442,342.25/249,930
  6. Step 6: Final answer
    x = 599,573.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.