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Finding the Third Proportional to 163,904.50 and 253,134.50

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Solution

The third proportional to 163,904.50 and 253,134.50 is: 390,941.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,904.50 : 253,134.50 = 253,134.50 : x
  2. Step 2: Convert to fraction form
    163,904.50/253,134.50 = 253,134.50/x
  3. Step 3: Cross multiply
    163,904.50x = 253,134.50 × 253,134.50
  4. Step 4: Simplify right side
    163,904.50x = 64,077,075,090.25
  5. Step 5: Solve for x
    x = 64,077,075,090.25/163,904.50
  6. Step 6: Final answer
    x = 390,941.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.