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Finding the Third Proportional to 249,237 and 365,526.75

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Solution

The third proportional to 249,237 and 365,526.75 is: 536,075.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,237 : 365,526.75 = 365,526.75 : x
  2. Step 2: Convert to fraction form
    249,237/365,526.75 = 365,526.75/x
  3. Step 3: Cross multiply
    249,237x = 365,526.75 × 365,526.75
  4. Step 4: Simplify right side
    249,237x = 133,609,804,965.56
  5. Step 5: Solve for x
    x = 133,609,804,965.56/249,237
  6. Step 6: Final answer
    x = 536,075.32

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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.