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Finding the Third Proportional to 249,708 and 384,222

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Solution

The third proportional to 249,708 and 384,222 is: 591,196.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,708 : 384,222 = 384,222 : x
  2. Step 2: Convert to fraction form
    249,708/384,222 = 384,222/x
  3. Step 3: Cross multiply
    249,708x = 384,222 × 384,222
  4. Step 4: Simplify right side
    249,708x = 147,626,545,284
  5. Step 5: Solve for x
    x = 147,626,545,284/249,708
  6. Step 6: Final answer
    x = 591,196.70

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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.