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Finding the Third Proportional to 145,877.63 and 314,075.25

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Solution

The third proportional to 145,877.63 and 314,075.25 is: 676,205.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,877.63 : 314,075.25 = 314,075.25 : x
  2. Step 2: Convert to fraction form
    145,877.63/314,075.25 = 314,075.25/x
  3. Step 3: Cross multiply
    145,877.63x = 314,075.25 × 314,075.25
  4. Step 4: Simplify right side
    145,877.63x = 98,643,262,662.56
  5. Step 5: Solve for x
    x = 98,643,262,662.56/145,877.63
  6. Step 6: Final answer
    x = 676,205.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.