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Finding the Third Proportional to 208,075.50 and 448,929

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Solution

The third proportional to 208,075.50 and 448,929 is: 968,577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,075.50 : 448,929 = 448,929 : x
  2. Step 2: Convert to fraction form
    208,075.50/448,929 = 448,929/x
  3. Step 3: Cross multiply
    208,075.50x = 448,929 × 448,929
  4. Step 4: Simplify right side
    208,075.50x = 201,537,247,041
  5. Step 5: Solve for x
    x = 201,537,247,041/208,075.50
  6. Step 6: Final answer
    x = 968,577.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.