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Finding the Third Proportional to 248,030 and 371,076

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Solution

The third proportional to 248,030 and 371,076 is: 555,164.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,030 : 371,076 = 371,076 : x
  2. Step 2: Convert to fraction form
    248,030/371,076 = 371,076/x
  3. Step 3: Cross multiply
    248,030x = 371,076 × 371,076
  4. Step 4: Simplify right side
    248,030x = 137,697,397,776
  5. Step 5: Solve for x
    x = 137,697,397,776/248,030
  6. Step 6: Final answer
    x = 555,164.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.