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Finding the Third Proportional to 164,075.63 and 253,113.38

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Solution

The third proportional to 164,075.63 and 253,113.38 is: 390,468.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,075.63 : 253,113.38 = 253,113.38 : x
  2. Step 2: Convert to fraction form
    164,075.63/253,113.38 = 253,113.38/x
  3. Step 3: Cross multiply
    164,075.63x = 253,113.38 × 253,113.38
  4. Step 4: Simplify right side
    164,075.63x = 64,066,380,603.89
  5. Step 5: Solve for x
    x = 64,066,380,603.89/164,075.63
  6. Step 6: Final answer
    x = 390,468.61

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