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Finding the Third Proportional to 249,273.25 and 386,713.50

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Solution

The third proportional to 249,273.25 and 386,713.50 is: 599,933.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,273.25 : 386,713.50 = 386,713.50 : x
  2. Step 2: Convert to fraction form
    249,273.25/386,713.50 = 386,713.50/x
  3. Step 3: Cross multiply
    249,273.25x = 386,713.50 × 386,713.50
  4. Step 4: Simplify right side
    249,273.25x = 149,547,331,082.25
  5. Step 5: Solve for x
    x = 149,547,331,082.25/249,273.25
  6. Step 6: Final answer
    x = 599,933.33

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Why These Related Problems?

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