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Finding the Third Proportional to 249,844.50 and 328,023

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Solution

The third proportional to 249,844.50 and 328,023 is: 430,664.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,844.50 : 328,023 = 328,023 : x
  2. Step 2: Convert to fraction form
    249,844.50/328,023 = 328,023/x
  3. Step 3: Cross multiply
    249,844.50x = 328,023 × 328,023
  4. Step 4: Simplify right side
    249,844.50x = 107,599,088,529
  5. Step 5: Solve for x
    x = 107,599,088,529/249,844.50
  6. Step 6: Final answer
    x = 430,664.23

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.