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Finding the Third Proportional to 157,581 and 364,428

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Solution

The third proportional to 157,581 and 364,428 is: 842,790.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,581 : 364,428 = 364,428 : x
  2. Step 2: Convert to fraction form
    157,581/364,428 = 364,428/x
  3. Step 3: Cross multiply
    157,581x = 364,428 × 364,428
  4. Step 4: Simplify right side
    157,581x = 132,807,767,184
  5. Step 5: Solve for x
    x = 132,807,767,184/157,581
  6. Step 6: Final answer
    x = 842,790.48

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.