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Finding the Third Proportional to 160,322.50 and 253,852.50

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Solution

The third proportional to 160,322.50 and 253,852.50 is: 401,946.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,322.50 : 253,852.50 = 253,852.50 : x
  2. Step 2: Convert to fraction form
    160,322.50/253,852.50 = 253,852.50/x
  3. Step 3: Cross multiply
    160,322.50x = 253,852.50 × 253,852.50
  4. Step 4: Simplify right side
    160,322.50x = 64,441,091,756.25
  5. Step 5: Solve for x
    x = 64,441,091,756.25/160,322.50
  6. Step 6: Final answer
    x = 401,946.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.