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Finding the Third Proportional to 158,598 and 357,119

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Solution

The third proportional to 158,598 and 357,119 is: 804,133.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,598 : 357,119 = 357,119 : x
  2. Step 2: Convert to fraction form
    158,598/357,119 = 357,119/x
  3. Step 3: Cross multiply
    158,598x = 357,119 × 357,119
  4. Step 4: Simplify right side
    158,598x = 127,533,980,161
  5. Step 5: Solve for x
    x = 127,533,980,161/158,598
  6. Step 6: Final answer
    x = 804,133.60

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.