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Finding the Third Proportional to 187,534 and 382,030

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Solution

The third proportional to 187,534 and 382,030 is: 778,242.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,534 : 382,030 = 382,030 : x
  2. Step 2: Convert to fraction form
    187,534/382,030 = 382,030/x
  3. Step 3: Cross multiply
    187,534x = 382,030 × 382,030
  4. Step 4: Simplify right side
    187,534x = 145,946,920,900
  5. Step 5: Solve for x
    x = 145,946,920,900/187,534
  6. Step 6: Final answer
    x = 778,242.46

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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.