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Finding the Third Proportional to 265,134 and 411,187.50

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Solution

The third proportional to 265,134 and 411,187.50 is: 637,697.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,134 : 411,187.50 = 411,187.50 : x
  2. Step 2: Convert to fraction form
    265,134/411,187.50 = 411,187.50/x
  3. Step 3: Cross multiply
    265,134x = 411,187.50 × 411,187.50
  4. Step 4: Simplify right side
    265,134x = 169,075,160,156.25
  5. Step 5: Solve for x
    x = 169,075,160,156.25/265,134
  6. Step 6: Final answer
    x = 637,697.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.