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Finding the Third Proportional to 112,946 and 245,566

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Solution

The third proportional to 112,946 and 245,566 is: 533,907.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,946 : 245,566 = 245,566 : x
  2. Step 2: Convert to fraction form
    112,946/245,566 = 245,566/x
  3. Step 3: Cross multiply
    112,946x = 245,566 × 245,566
  4. Step 4: Simplify right side
    112,946x = 60,302,660,356
  5. Step 5: Solve for x
    x = 60,302,660,356/112,946
  6. Step 6: Final answer
    x = 533,907.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.