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Finding the Third Proportional to 122,296 and 249,776

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Solution

The third proportional to 122,296 and 249,776 is: 510,139.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,296 : 249,776 = 249,776 : x
  2. Step 2: Convert to fraction form
    122,296/249,776 = 249,776/x
  3. Step 3: Cross multiply
    122,296x = 249,776 × 249,776
  4. Step 4: Simplify right side
    122,296x = 62,388,050,176
  5. Step 5: Solve for x
    x = 62,388,050,176/122,296
  6. Step 6: Final answer
    x = 510,139.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.