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Finding the Third Proportional to 158,643 and 357,232.50

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Solution

The third proportional to 158,643 and 357,232.50 is: 804,416.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,643 : 357,232.50 = 357,232.50 : x
  2. Step 2: Convert to fraction form
    158,643/357,232.50 = 357,232.50/x
  3. Step 3: Cross multiply
    158,643x = 357,232.50 × 357,232.50
  4. Step 4: Simplify right side
    158,643x = 127,615,059,056.25
  5. Step 5: Solve for x
    x = 127,615,059,056.25/158,643
  6. Step 6: Final answer
    x = 804,416.58

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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.