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Finding the Third Proportional to 122,670.50 and 249,851.50

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Solution

The third proportional to 122,670.50 and 249,851.50 is: 508,889.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,670.50 : 249,851.50 = 249,851.50 : x
  2. Step 2: Convert to fraction form
    122,670.50/249,851.50 = 249,851.50/x
  3. Step 3: Cross multiply
    122,670.50x = 249,851.50 × 249,851.50
  4. Step 4: Simplify right side
    122,670.50x = 62,425,772,052.25
  5. Step 5: Solve for x
    x = 62,425,772,052.25/122,670.50
  6. Step 6: Final answer
    x = 508,889.85

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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.