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Finding the Third Proportional to 165,230 and 249,393

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Solution

The third proportional to 165,230 and 249,393 is: 376,426.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,230 : 249,393 = 249,393 : x
  2. Step 2: Convert to fraction form
    165,230/249,393 = 249,393/x
  3. Step 3: Cross multiply
    165,230x = 249,393 × 249,393
  4. Step 4: Simplify right side
    165,230x = 62,196,868,449
  5. Step 5: Solve for x
    x = 62,196,868,449/165,230
  6. Step 6: Final answer
    x = 376,426.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.