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Finding the Third Proportional to 181,570 and 390,780

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Solution

The third proportional to 181,570 and 390,780 is: 841,047.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,570 : 390,780 = 390,780 : x
  2. Step 2: Convert to fraction form
    181,570/390,780 = 390,780/x
  3. Step 3: Cross multiply
    181,570x = 390,780 × 390,780
  4. Step 4: Simplify right side
    181,570x = 152,709,008,400
  5. Step 5: Solve for x
    x = 152,709,008,400/181,570
  6. Step 6: Final answer
    x = 841,047.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.