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Finding the Third Proportional to 157,063 and 370,726

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Solution

The third proportional to 157,063 and 370,726 is: 875,048.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,063 : 370,726 = 370,726 : x
  2. Step 2: Convert to fraction form
    157,063/370,726 = 370,726/x
  3. Step 3: Cross multiply
    157,063x = 370,726 × 370,726
  4. Step 4: Simplify right side
    157,063x = 137,437,767,076
  5. Step 5: Solve for x
    x = 137,437,767,076/157,063
  6. Step 6: Final answer
    x = 875,048.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.