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Finding the Third Proportional to 249,052 and 355,838

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Solution

The third proportional to 249,052 and 355,838 is: 508,410.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,052 : 355,838 = 355,838 : x
  2. Step 2: Convert to fraction form
    249,052/355,838 = 355,838/x
  3. Step 3: Cross multiply
    249,052x = 355,838 × 355,838
  4. Step 4: Simplify right side
    249,052x = 126,620,682,244
  5. Step 5: Solve for x
    x = 126,620,682,244/249,052
  6. Step 6: Final answer
    x = 508,410.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.