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Finding the Third Proportional to 256,075.50 and 377,532

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Solution

The third proportional to 256,075.50 and 377,532 is: 556,595.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,075.50 : 377,532 = 377,532 : x
  2. Step 2: Convert to fraction form
    256,075.50/377,532 = 377,532/x
  3. Step 3: Cross multiply
    256,075.50x = 377,532 × 377,532
  4. Step 4: Simplify right side
    256,075.50x = 142,530,411,024
  5. Step 5: Solve for x
    x = 142,530,411,024/256,075.50
  6. Step 6: Final answer
    x = 556,595.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.