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Finding the Third Proportional to 175,020 and 374,030

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Solution

The third proportional to 175,020 and 374,030 is: 799,328.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,020 : 374,030 = 374,030 : x
  2. Step 2: Convert to fraction form
    175,020/374,030 = 374,030/x
  3. Step 3: Cross multiply
    175,020x = 374,030 × 374,030
  4. Step 4: Simplify right side
    175,020x = 139,898,440,900
  5. Step 5: Solve for x
    x = 139,898,440,900/175,020
  6. Step 6: Final answer
    x = 799,328.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.