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Finding the Third Proportional to 186,345 and 248,271.50

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Solution

The third proportional to 186,345 and 248,271.50 is: 330,777.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,345 : 248,271.50 = 248,271.50 : x
  2. Step 2: Convert to fraction form
    186,345/248,271.50 = 248,271.50/x
  3. Step 3: Cross multiply
    186,345x = 248,271.50 × 248,271.50
  4. Step 4: Simplify right side
    186,345x = 61,638,737,712.25
  5. Step 5: Solve for x
    x = 61,638,737,712.25/186,345
  6. Step 6: Final answer
    x = 330,777.52

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.