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Finding the Third Proportional to 160,575 and 250,054.50

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Solution

The third proportional to 160,575 and 250,054.50 is: 389,395.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,575 : 250,054.50 = 250,054.50 : x
  2. Step 2: Convert to fraction form
    160,575/250,054.50 = 250,054.50/x
  3. Step 3: Cross multiply
    160,575x = 250,054.50 × 250,054.50
  4. Step 4: Simplify right side
    160,575x = 62,527,252,970.25
  5. Step 5: Solve for x
    x = 62,527,252,970.25/160,575
  6. Step 6: Final answer
    x = 389,395.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.