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Finding the Third Proportional to 249,264 and 384,264

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Solution

The third proportional to 249,264 and 384,264 is: 592,379.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,264 : 384,264 = 384,264 : x
  2. Step 2: Convert to fraction form
    249,264/384,264 = 384,264/x
  3. Step 3: Cross multiply
    249,264x = 384,264 × 384,264
  4. Step 4: Simplify right side
    249,264x = 147,658,821,696
  5. Step 5: Solve for x
    x = 147,658,821,696/249,264
  6. Step 6: Final answer
    x = 592,379.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.